Atkin-Lehner |
2+ 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
125736d |
Isogeny class |
Conductor |
125736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-4.472464340221E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -1 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,724447,217019685] |
[a1,a2,a3,a4,a6] |
Generators |
[-251:4394:1] [-151:10206:1] |
Generators of the group modulo torsion |
j |
34028506496000/36194852187 |
j-invariant |
L |
9.9224009591868 |
L(r)(E,1)/r! |
Ω |
0.13401060039501 |
Real period |
R |
2.3138097225235 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999954659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9672f1 |
Quadratic twists by: 13 |