Atkin-Lehner |
2+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15040c |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
25232932864000 = 232 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ 3 5+ -3 1 1 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7468,57392] |
[a1,a2,a3,a4,a6] |
Generators |
[-1464:14860:27] |
Generators of the group modulo torsion |
j |
175710096801/96256000 |
j-invariant |
L |
7.2915145005529 |
L(r)(E,1)/r! |
Ω |
0.5838008476257 |
Real period |
R |
6.244864605976 |
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 |
15040bd1 470f1 75200bc1 |
Quadratic twists by: -4 8 5 |