Atkin-Lehner |
2- 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330cp |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2059200 |
Modular degree for the optimal curve |
Δ |
-521660342619083070 = -1 · 2 · 311 · 5 · 138 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 3 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-923335,-343645333] |
[a1,a2,a3,a4,a6] |
Generators |
[504153489469410:29702831288247353:132807121208] |
Generators of the group modulo torsion |
j |
-106722211930321/639500670 |
j-invariant |
L |
9.4966255894125 |
L(r)(E,1)/r! |
Ω |
0.076979339100977 |
Real period |
R |
20.560983636045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330g1 |
Quadratic twists by: 13 |