Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15730h |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
359040 |
Modular degree for the optimal curve |
Δ |
278666545300 = 22 · 52 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 11- 13- 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8210578,9052002128] |
[a1,a2,a3,a4,a6] |
Generators |
[1654:-822:1] |
Generators of the group modulo torsion |
j |
285564033218841289/1300 |
j-invariant |
L |
1.8119435889004 |
L(r)(E,1)/r! |
Ω |
0.46875335661169 |
Real period |
R |
0.96636299417551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840bt1 78650bu1 15730u1 |
Quadratic twists by: -4 5 -11 |