Atkin-Lehner |
3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235bb |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43545600 |
Modular degree for the optimal curve |
Δ |
-4.8839820287396E+22 |
Discriminant |
Eigenvalues |
2 3- 5+ 4 11- -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-318173493,2184485930239] |
[a1,a2,a3,a4,a6] |
j |
-2758240050247355723776/37817291221875 |
j-invariant |
L |
3.7081440609881 |
L(r)(E,1)/r! |
Ω |
0.10300405353344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41745p1 11385l1 |
Quadratic twists by: -3 -11 |