Atkin-Lehner |
2+ 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
117978b |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5031936 |
Modular degree for the optimal curve |
Δ |
-4.8340058833287E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -1 -4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2084336,1204712832] |
[a1,a2,a3,a4,a6] |
j |
-45182682230113/2180981376 |
j-invariant |
L |
1.5910978379706 |
L(r)(E,1)/r! |
Ω |
0.19888705845812 |
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 |
2226j1 |
Quadratic twists by: 53 |