Atkin-Lehner |
2- 3- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
70488g |
Isogeny class |
Conductor |
70488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
18087784704 = 28 · 38 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2271,-41150] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:22:1] |
Generators of the group modulo torsion |
j |
6940769488/96921 |
j-invariant |
L |
5.9154789889922 |
L(r)(E,1)/r! |
Ω |
0.69216940762232 |
Real period |
R |
2.1365719591278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23496b1 |
Quadratic twists by: -3 |