Atkin-Lehner |
2- 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
96048bj |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1529588219904 = 220 · 37 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6771,-206030] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:90:1] [-46:90:1] |
Generators of the group modulo torsion |
j |
11497268593/512256 |
j-invariant |
L |
8.9134229021649 |
L(r)(E,1)/r! |
Ω |
0.52775401414673 |
Real period |
R |
4.2223378046386 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12006c1 32016bd1 |
Quadratic twists by: -4 -3 |