Atkin-Lehner |
2+ 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370bo |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1473483135600 = -1 · 24 · 32 · 52 · 78 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2571,-29648] |
[a1,a2,a3,a4,a6] |
j |
15983964359/12524400 |
j-invariant |
L |
1.8928470032288 |
L(r)(E,1)/r! |
Ω |
0.47321183635048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910e1 |
Quadratic twists by: -7 |