Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25792bd |
Isogeny class |
Conductor |
25792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-1133504683311104 = -1 · 229 · 133 · 312 |
Discriminant |
Eigenvalues |
2- -3 -1 3 0 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20372,1171024] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:1024:1] |
Generators of the group modulo torsion |
j |
3566849562639/4323977216 |
j-invariant |
L |
3.1287705406533 |
L(r)(E,1)/r! |
Ω |
0.32705714751854 |
Real period |
R |
1.1958042212164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25792f1 6448n1 |
Quadratic twists by: -4 8 |