Atkin-Lehner |
2+ 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330r |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-27192171494547540 = -1 · 22 · 35 · 5 · 138 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 4 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-126922,19074424] |
[a1,a2,a3,a4,a6] |
j |
-277199830921/33334740 |
j-invariant |
L |
0.72849468282659 |
L(r)(E,1)/r! |
Ω |
0.36424740382871 |
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 |
96330bz1 |
Quadratic twists by: 13 |