Atkin-Lehner |
2+ 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12410g |
Isogeny class |
Conductor |
12410 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
259123902500 = 22 · 54 · 175 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 0 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2159382,1220456864] |
[a1,a2,a3,a4,a6] |
Generators |
[623:10526:1] |
Generators of the group modulo torsion |
j |
1113557012183790861995881/259123902500 |
j-invariant |
L |
5.1572924505294 |
L(r)(E,1)/r! |
Ω |
0.57658922531962 |
Real period |
R |
0.89444828728295 |
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 |
99280bc1 111690bf1 62050x1 |
Quadratic twists by: -4 -3 5 |