Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176cd |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6491520 |
Modular degree for the optimal curve |
Δ |
-1.5833459156451E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 2 4 4 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47852811,-127555445574] |
[a1,a2,a3,a4,a6] |
j |
-97967097/128 |
j-invariant |
L |
2.8124496389016 |
L(r)(E,1)/r! |
Ω |
0.02869846562227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9522l1 8464r1 76176cb1 |
Quadratic twists by: -4 -3 -23 |