Atkin-Lehner |
3- 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
77775i |
Isogeny class |
Conductor |
77775 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
1.2051588095868E+26 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-162428388,596554981767] |
[a1,a2,a3,a4,a6] |
Generators |
[5766:5538867:8] |
Generators of the group modulo torsion |
j |
242649542020189580867501/61704131050841642757 |
j-invariant |
L |
4.5252865493355 |
L(r)(E,1)/r! |
Ω |
0.055173160906966 |
Real period |
R |
5.4679805353134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77775e2 |
Quadratic twists by: 5 |