Atkin-Lehner |
2- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
96748b |
Isogeny class |
Conductor |
96748 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-7882253056 = -1 · 28 · 193 · 672 |
Discriminant |
Eigenvalues |
2- 0 1 3 3 -2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-152,-4332] |
[a1,a2,a3,a4,a6] |
Generators |
[309:5427:1] |
Generators of the group modulo torsion |
j |
-221184/4489 |
j-invariant |
L |
8.3164145991464 |
L(r)(E,1)/r! |
Ω |
0.5672019454896 |
Real period |
R |
3.6655439263168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96748a1 |
Quadratic twists by: -19 |