Atkin-Lehner |
2- 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15312s |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
18254091037704192 = 226 · 35 · 113 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-127608,-16339500] |
[a1,a2,a3,a4,a6] |
j |
56104910457765625/4456565194752 |
j-invariant |
L |
2.5387056464258 |
L(r)(E,1)/r! |
Ω |
0.25387056464258 |
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 |
1914d1 61248bt1 45936br1 |
Quadratic twists by: -4 8 -3 |