Atkin-Lehner |
2+ 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646p |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
62899200 |
Modular degree for the optimal curve |
Δ |
-3.2930291576744E+30 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1851396521,-81747067645190] |
[a1,a2,a3,a4,a6] |
j |
5965320777755289448477147559/27990286000513453786136576 |
j-invariant |
L |
1.2169878917628 |
L(r)(E,1)/r! |
Ω |
0.012676957197853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378h1 |
Quadratic twists by: -7 |