Atkin-Lehner |
2- 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
15264p |
Isogeny class |
Conductor |
15264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-158257152 = -1 · 212 · 36 · 53 |
Discriminant |
Eigenvalues |
2- 3- 4 4 0 -3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132,160] |
[a1,a2,a3,a4,a6] |
j |
85184/53 |
j-invariant |
L |
4.508133187748 |
L(r)(E,1)/r! |
Ω |
1.127033296937 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15264f1 30528o1 1696a1 |
Quadratic twists by: -4 8 -3 |