Atkin-Lehner |
5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
122525n |
Isogeny class |
Conductor |
122525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5840640 |
Modular degree for the optimal curve |
Δ |
5.0514284220331E+20 |
Discriminant |
Eigenvalues |
-2 1 5- -3 4 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2105458,461265744] |
[a1,a2,a3,a4,a6] |
Generators |
[-1296:31856:1] [183:9062:1] |
Generators of the group modulo torsion |
j |
49836032/24389 |
j-invariant |
L |
7.1342401863734 |
L(r)(E,1)/r! |
Ω |
0.14684283799642 |
Real period |
R |
4.0486824149982 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999927094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122525m1 122525l1 |
Quadratic twists by: 5 13 |