Atkin-Lehner |
2- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12710l |
Isogeny class |
Conductor |
12710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-81423437500 = -1 · 22 · 58 · 31 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 2 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,669,12061] |
[a1,a2,a3,a4,a6] |
j |
33110176183631/81423437500 |
j-invariant |
L |
1.5112415517562 |
L(r)(E,1)/r! |
Ω |
0.75562077587808 |
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 |
101680o1 114390n1 63550a1 |
Quadratic twists by: -4 -3 5 |