Atkin-Lehner |
2+ 5+ 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
88450f |
Isogeny class |
Conductor |
88450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
118518120 |
Modular degree for the optimal curve |
Δ |
-3.9834338704092E+28 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 -3 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2499765951,-49055012926702] |
[a1,a2,a3,a4,a6] |
j |
-176897507372503806656640625/4079036283299024601088 |
j-invariant |
L |
0.52239441101218 |
L(r)(E,1)/r! |
Ω |
0.01066111056115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88450u1 |
Quadratic twists by: 5 |