Atkin-Lehner |
2+ 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330k |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6209280 |
Modular degree for the optimal curve |
Δ |
-66108223196620800 = -1 · 211 · 3 · 52 · 137 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -1 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28579593,-58819337403] |
[a1,a2,a3,a4,a6] |
j |
-534849681171628499041/13696051200 |
j-invariant |
L |
0.78355008574934 |
L(r)(E,1)/r! |
Ω |
0.032647922169199 |
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 |
7410p1 |
Quadratic twists by: 13 |