Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15312c |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
15312 = 24 · 3 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-319,-2090] |
[a1,a2,a3,a4,a6] |
j |
225079785472/957 |
j-invariant |
L |
1.1293761233475 |
L(r)(E,1)/r! |
Ω |
1.1293761233475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7656j1 61248cf1 45936n1 |
Quadratic twists by: -4 8 -3 |