Atkin-Lehner |
2+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
45920b |
Isogeny class |
Conductor |
45920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
658952000 = 26 · 53 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8153,283348] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:616:1] [51:14:1] |
Generators of the group modulo torsion |
j |
936474735013056/10296125 |
j-invariant |
L |
8.0032086220872 |
L(r)(E,1)/r! |
Ω |
1.465395700431 |
Real period |
R |
2.7307329411892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45920e1 91840o2 |
Quadratic twists by: -4 8 |