Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90992p |
Isogeny class |
Conductor |
90992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-161344890977202944 = -1 · 28 · 1111 · 472 |
Discriminant |
Eigenvalues |
2- -1 -1 4 11- 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,74859,17619769] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:658:1] |
Generators of the group modulo torsion |
j |
102294880256/355761659 |
j-invariant |
L |
6.1960532680382 |
L(r)(E,1)/r! |
Ω |
0.22925835256084 |
Real period |
R |
3.3783138101398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22748f1 8272o1 |
Quadratic twists by: -4 -11 |