Atkin-Lehner |
2- 5+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85550q |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
3588227072000000 = 227 · 56 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 5 3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-399713,-97391969] |
[a1,a2,a3,a4,a6] |
j |
452010552257419849/229646532608 |
j-invariant |
L |
10.253437320181 |
L(r)(E,1)/r! |
Ω |
0.18987847005181 |
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 |
3422b1 |
Quadratic twists by: 5 |