Atkin-Lehner |
2+ 3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16530c |
Isogeny class |
Conductor |
16530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
1772058316800 = 212 · 3 · 52 · 193 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10098,381108] |
[a1,a2,a3,a4,a6] |
j |
113892993911752489/1772058316800 |
j-invariant |
L |
1.6780993715789 |
L(r)(E,1)/r! |
Ω |
0.83904968578944 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49590ca1 82650ck1 |
Quadratic twists by: -3 5 |