Atkin-Lehner |
2- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
41236a |
Isogeny class |
Conductor |
41236 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
796153183696 = 24 · 138 · 61 |
Discriminant |
Eigenvalues |
2- 0 2 -4 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2704,-32955] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:90:1] [546:2535:8] |
Generators of the group modulo torsion |
j |
28311552/10309 |
j-invariant |
L |
8.7365604191205 |
L(r)(E,1)/r! |
Ω |
0.68221604045515 |
Real period |
R |
12.806149226998 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3172b1 |
Quadratic twists by: 13 |