Atkin-Lehner |
2+ 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64032b |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-117064839168 = -1 · 212 · 34 · 233 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 4 -5 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2093,-39675] |
[a1,a2,a3,a4,a6] |
j |
-247673152000/28580283 |
j-invariant |
L |
1.4025272204787 |
L(r)(E,1)/r! |
Ω |
0.35063180545712 |
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 |
64032w1 128064cx1 |
Quadratic twists by: -4 8 |