Atkin-Lehner |
2- 3- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650dc |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9805824 |
Modular degree for the optimal curve |
Δ |
2.4070288592285E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13752588,-19617150708] |
[a1,a2,a3,a4,a6] |
j |
18410135538366800585209/15404984699062500 |
j-invariant |
L |
10.035412701692 |
L(r)(E,1)/r! |
Ω |
0.078401660722174 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530e1 |
Quadratic twists by: 5 |