Atkin-Lehner |
2+ 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85550c |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3525120 |
Modular degree for the optimal curve |
Δ |
49291503906250000 = 24 · 515 · 29 · 592 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29502292,-61670832384] |
[a1,a2,a3,a4,a6] |
j |
181748554642220708013201/3154656250000 |
j-invariant |
L |
1.036467343346 |
L(r)(E,1)/r! |
Ω |
0.06477920519522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17110e1 |
Quadratic twists by: 5 |