Atkin-Lehner |
5+ 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59225c |
Isogeny class |
Conductor |
59225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
23134765625 = 510 · 23 · 103 |
Discriminant |
Eigenvalues |
1 0 5+ 0 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1442,-19409] |
[a1,a2,a3,a4,a6] |
j |
21230922609/1480625 |
j-invariant |
L |
0.77812140733662 |
L(r)(E,1)/r! |
Ω |
0.7781214095876 |
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 |
11845a1 |
Quadratic twists by: 5 |