Atkin-Lehner |
2+ 5+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
66950h |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
669500000 = 25 · 56 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 -3 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2550,48500] |
[a1,a2,a3,a4,a6] |
j |
117433042273/42848 |
j-invariant |
L |
3.1699412794294 |
L(r)(E,1)/r! |
Ω |
1.5849706435237 |
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 |
2678n1 |
Quadratic twists by: 5 |