Atkin-Lehner |
2- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64960bu |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
87342617600 = 210 · 52 · 76 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2325,-41525] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:45:1] [-25:40:1] |
Generators of the group modulo torsion |
j |
1357936328704/85295525 |
j-invariant |
L |
7.2243250323247 |
L(r)(E,1)/r! |
Ω |
0.69021479955972 |
Real period |
R |
5.2333889659826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960x1 16240j1 |
Quadratic twists by: -4 8 |