Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64960bm |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1177400000 = 26 · 55 · 7 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -6 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29176,-1927926] |
[a1,a2,a3,a4,a6] |
j |
42917644130360896/18396875 |
j-invariant |
L |
0.73058689296063 |
L(r)(E,1)/r! |
Ω |
0.36529345235129 |
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 |
64960bb1 32480k2 |
Quadratic twists by: -4 8 |