Atkin-Lehner |
2- 3+ 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89784g |
Isogeny class |
Conductor |
89784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27136 |
Modular degree for the optimal curve |
Δ |
249958656 = 28 · 33 · 292 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 2 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-159,130] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:30:1] |
Generators of the group modulo torsion |
j |
64314864/36163 |
j-invariant |
L |
8.2629848205725 |
L(r)(E,1)/r! |
Ω |
1.5129124915158 |
Real period |
R |
1.3654102367492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89784a1 |
Quadratic twists by: -3 |