Atkin-Lehner |
2- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59696q |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
954005118976 = 213 · 75 · 132 · 41 |
Discriminant |
Eigenvalues |
2- -1 3 7- 2 13+ -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13144,582512] |
[a1,a2,a3,a4,a6] |
Generators |
[4:728:1] |
Generators of the group modulo torsion |
j |
61316796395737/232911406 |
j-invariant |
L |
6.4798786015448 |
L(r)(E,1)/r! |
Ω |
0.8856901112492 |
Real period |
R |
0.18290479138996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7462a1 |
Quadratic twists by: -4 |