Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64960bd |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
1883840 = 26 · 5 · 7 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,130] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1334:1] |
Generators of the group modulo torsion |
j |
308915776/29435 |
j-invariant |
L |
4.0041179828209 |
L(r)(E,1)/r! |
Ω |
2.5624842764004 |
Real period |
R |
3.125184430977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000514 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960bk1 32480b2 |
Quadratic twists by: -4 8 |