Rational L-function search results

Results (25 matches)

 

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
8-70e4-1.1-c1e4-0-0	$0.747$	$0.0976$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$1.72010$	Modular form 70.2.i.a
8-70e4-1.1-c1e4-0-1	$0.747$	$0.0976$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$1.82896$	Modular form 70.2.c.a
8-70e4-1.1-c1e4-0-2	$0.747$	$0.0976$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$1.98793$	Modular form 70.2.i.b
8-70e4-1.1-c2e4-0-0	$1.38$	$13.2$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$1.13651$	Modular form 70.3.f.a
8-70e4-1.1-c3e4-0-0	$2.03$	$290.$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.580642$	Modular form 70.4.e.d
8-70e4-1.1-c5e4-0-0	$3.35$	$1.58\times 10^{4}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.0624019$	Modular form 70.6.e.d
8-70e4-1.1-c5e4-0-1	$3.35$	$1.58\times 10^{4}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.234147$	Modular form 70.6.e.c
8-70e4-1.1-c5e4-0-2	$3.35$	$1.58\times 10^{4}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.494682$	Modular form 70.6.e.e
8-70e4-1.1-c7e4-0-0	$4.67$	$2.28\times 10^{5}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$7.0, 7.0, 7.0, 7.0$	$7$		$1$	$0$	$0.348309$	Modular form 70.8.c.c
8-70e4-1.1-c13e4-0-0	$8.66$	$3.17\times 10^{7}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$13.0, 13.0, 13.0, 13.0$	$13$		$1$	$0$	$0.528265$	Modular form 70.14.a.g
8-70e4-1.1-c13e4-0-1	$8.66$	$3.17\times 10^{7}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$13.0, 13.0, 13.0, 13.0$	$13$		$1$	$0$	$0.756611$	Modular form 70.14.a.h
8-70e4-1.1-c15e4-0-0	$9.99$	$9.95\times 10^{7}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$15.0, 15.0, 15.0, 15.0$	$15$		$1$	$0$	$0.403225$	Modular form 70.16.a.d
8-70e4-1.1-c15e4-0-1	$9.99$	$9.95\times 10^{7}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$15.0, 15.0, 15.0, 15.0$	$15$		$1$	$0$	$0.460335$	Modular form 70.16.a.e
8-70e4-1.1-c15e4-0-2	$9.99$	$9.95\times 10^{7}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$15.0, 15.0, 15.0, 15.0$	$15$		$1$	$0$	$0.491257$	Modular form 70.16.a.g
8-70e4-1.1-c15e4-0-3	$9.99$	$9.95\times 10^{7}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$15.0, 15.0, 15.0, 15.0$	$15$		$1$	$0$	$0.645387$	Modular form 70.16.a.h
8-70e4-1.1-c15e4-0-4	$9.99$	$9.95\times 10^{7}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$15.0, 15.0, 15.0, 15.0$	$15$		$1$	$4$	$0.874668$	Modular form 70.16.a.c
8-70e4-1.1-c15e4-0-5	$9.99$	$9.95\times 10^{7}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$15.0, 15.0, 15.0, 15.0$	$15$		$1$	$4$	$0.952035$	Modular form 70.16.a.f
8-70e4-1.1-c17e4-0-0	$11.3$	$2.70\times 10^{8}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$17.0, 17.0, 17.0, 17.0$	$17$		$1$	$0$	$0.177539$	Modular form 70.18.a.d
8-70e4-1.1-c17e4-0-1	$11.3$	$2.70\times 10^{8}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$17.0, 17.0, 17.0, 17.0$	$17$		$1$	$0$	$0.301830$	Modular form 70.18.a.a
8-70e4-1.1-c17e4-0-2	$11.3$	$2.70\times 10^{8}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$17.0, 17.0, 17.0, 17.0$	$17$		$1$	$4$	$0.830228$	Modular form 70.18.a.c
8-70e4-1.1-c17e4-0-3	$11.3$	$2.70\times 10^{8}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$17.0, 17.0, 17.0, 17.0$	$17$		$1$	$4$	$1.02086$	Modular form 70.18.a.b
8-70e4-1.1-c17e4-0-4	$11.3$	$2.70\times 10^{8}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$17.0, 17.0, 17.0, 17.0$	$17$		$1$	$4$	$1.08389$	Modular form 70.18.a.e
8-70e4-1.1-c17e4-0-5	$11.3$	$2.70\times 10^{8}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$17.0, 17.0, 17.0, 17.0$	$17$		$1$	$4$	$1.22103$	Modular form 70.18.a.f
8-70e4-1.1-c19e4-0-0	$12.6$	$6.58\times 10^{8}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$19.0, 19.0, 19.0, 19.0$	$19$		$1$	$4$	$0.955476$	Modular form 70.20.a.b
8-70e4-1.1-c19e4-0-1	$12.6$	$6.58\times 10^{8}$	$8$	$2^{4} \cdot 5^{4} \cdot 7^{4}$	1.1		$19.0, 19.0, 19.0, 19.0$	$19$		$1$	$4$	$1.17382$	Modular form 70.20.a.a