Atkin-Lehner |
3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11925i |
Isogeny class |
Conductor |
11925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-1082809999529296875 = -1 · 321 · 59 · 53 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 0 4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-110550,-52025594] |
[a1,a2,a3,a4,a6] |
j |
-13117540040704/95061508875 |
j-invariant |
L |
1.8552966315075 |
L(r)(E,1)/r! |
Ω |
0.11595603946922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3975a1 2385f1 |
Quadratic twists by: -3 5 |