Atkin-Lehner |
2- 3+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648p |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
248653283328 = 218 · 33 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -2 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35259,2548202] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:1792:1] |
Generators of the group modulo torsion |
j |
43833885878979/2248384 |
j-invariant |
L |
9.984113791668 |
L(r)(E,1)/r! |
Ω |
0.93076951322314 |
Real period |
R |
2.6816826331803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14706n1 117648q1 |
Quadratic twists by: -4 -3 |