Atkin-Lehner |
2- 3- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7626i |
Isogeny class |
Conductor |
7626 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
19296 |
Modular degree for the optimal curve |
Δ |
-8205606504 = -1 · 23 · 39 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 3- 3 2 3 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40044,3080952] |
[a1,a2,a3,a4,a6] |
j |
-7101281816103496897/8205606504 |
j-invariant |
L |
6.632159115469 |
L(r)(E,1)/r! |
Ω |
1.1053598525782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
61008e1 22878d1 |
Quadratic twists by: -4 -3 |