Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15312d |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5238908928 = 211 · 36 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 11+ 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1336,-18032] |
[a1,a2,a3,a4,a6] |
j |
128865945458/2558061 |
j-invariant |
L |
3.1623121019194 |
L(r)(E,1)/r! |
Ω |
0.79057802547986 |
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 |
7656d2 61248ci2 45936p2 |
Quadratic twists by: -4 8 -3 |