Atkin-Lehner |
2+ 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12710i |
Isogeny class |
Conductor |
12710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
252166400 = 28 · 52 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-847,-9819] |
[a1,a2,a3,a4,a6] |
Generators |
[702:18249:1] |
Generators of the group modulo torsion |
j |
67324767141241/252166400 |
j-invariant |
L |
4.7263521033452 |
L(r)(E,1)/r! |
Ω |
0.88503366515661 |
Real period |
R |
2.6701538537005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680s1 114390bn1 63550w1 |
Quadratic twists by: -4 -3 5 |