Atkin-Lehner |
2+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25792d |
Isogeny class |
Conductor |
25792 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
-736645312 = -1 · 26 · 135 · 31 |
Discriminant |
Eigenvalues |
2+ 2 0 4 3 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3063,66293] |
[a1,a2,a3,a4,a6] |
Generators |
[332:5961:1] |
Generators of the group modulo torsion |
j |
-49673699776000/11510083 |
j-invariant |
L |
9.0172705778493 |
L(r)(E,1)/r! |
Ω |
1.5603777400692 |
Real period |
R |
5.7789023428708 |
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 |
25792l1 12896e1 |
Quadratic twists by: -4 8 |