Atkin-Lehner |
2- 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
93456w |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
36835671932928 = 218 · 39 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63099,6093738] |
[a1,a2,a3,a4,a6] |
Generators |
[166:440:1] |
Generators of the group modulo torsion |
j |
344619542331/456896 |
j-invariant |
L |
8.5637818524079 |
L(r)(E,1)/r! |
Ω |
0.64882407192582 |
Real period |
R |
3.2997318601741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11682n1 93456u1 |
Quadratic twists by: -4 -3 |