Atkin-Lehner |
2+ 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330bo |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-231397093715374080 = -1 · 212 · 36 · 5 · 138 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1265138,548098436] |
[a1,a2,a3,a4,a6] |
Generators |
[612:1468:1] |
Generators of the group modulo torsion |
j |
-46395601158168289/47939973120 |
j-invariant |
L |
8.2879033011489 |
L(r)(E,1)/r! |
Ω |
0.31226184433351 |
Real period |
R |
2.2117931469383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410u1 |
Quadratic twists by: 13 |