Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
125048bd |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
1472315152 = 24 · 73 · 11 · 293 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 11- -1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-324,-1175] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:-29:1] |
Generators of the group modulo torsion |
j |
687518464/268279 |
j-invariant |
L |
4.0335268690111 |
L(r)(E,1)/r! |
Ω |
1.1630599685912 |
Real period |
R |
0.28900249459692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000202174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125048x1 |
Quadratic twists by: -7 |