Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
125048x |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
173216405317648 = 24 · 79 · 11 · 293 |
Discriminant |
Eigenvalues |
2- 1 2 7- 11- 1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15892,434797] |
[a1,a2,a3,a4,a6] |
Generators |
[114:343:1] |
Generators of the group modulo torsion |
j |
687518464/268279 |
j-invariant |
L |
10.730152874087 |
L(r)(E,1)/r! |
Ω |
0.52020603964259 |
Real period |
R |
1.718894698544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125048bd1 |
Quadratic twists by: -7 |