Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768di |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-142350314844028928 = -1 · 215 · 711 · 133 |
Discriminant |
Eigenvalues |
2- 1 0 7- 1 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,123807,6996191] |
[a1,a2,a3,a4,a6] |
j |
54439939000/36924979 |
j-invariant |
L |
2.4686769257575 |
L(r)(E,1)/r! |
Ω |
0.20572307714933 |
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 |
40768dn1 20384e1 5824r1 |
Quadratic twists by: -4 8 -7 |