Atkin-Lehner |
2- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90988d |
Isogeny class |
Conductor |
90988 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
186912 |
Modular degree for the optimal curve |
Δ |
-53877957873328 = -1 · 24 · 238 · 43 |
Discriminant |
Eigenvalues |
2- 2 0 0 -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3527,-345006] |
[a1,a2,a3,a4,a6] |
Generators |
[6515334:15381204:117649] |
Generators of the group modulo torsion |
j |
2048000/22747 |
j-invariant |
L |
8.7089471696578 |
L(r)(E,1)/r! |
Ω |
0.31007700631459 |
Real period |
R |
9.3621336945686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3956d1 |
Quadratic twists by: -23 |