Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960z |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
53553273718702080 = 220 · 3 · 5 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105976,7271536] |
[a1,a2,a3,a4,a6] |
Generators |
[14430:274022:27] |
Generators of the group modulo torsion |
j |
217081801/88320 |
j-invariant |
L |
5.1810996160746 |
L(r)(E,1)/r! |
Ω |
0.32140326412368 |
Real period |
R |
4.0300614863895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999048382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870j1 5520r1 |
Quadratic twists by: -4 -23 |