Atkin-Lehner |
2- 3+ 5- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710y |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
76145062500 = 22 · 34 · 56 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25465,-1574653] |
[a1,a2,a3,a4,a6] |
j |
1826231458273382161/76145062500 |
j-invariant |
L |
4.535194092548 |
L(r)(E,1)/r! |
Ω |
0.37793284104561 |
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 |
104130q1 |
Quadratic twists by: -3 |