Atkin-Lehner |
2- 5+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
70550be |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
4257263732375000000 = 26 · 59 · 177 · 83 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 5 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2365838,-1398100469] |
[a1,a2,a3,a4,a6] |
j |
93725703087867323929/272464878872000 |
j-invariant |
L |
10.227240754458 |
L(r)(E,1)/r! |
Ω |
0.12175286613194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14110a1 |
Quadratic twists by: 5 |