Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90992l |
Isogeny class |
Conductor |
90992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-4.7128709311556E+19 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 11- 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101317,-330561101] |
[a1,a2,a3,a4,a6] |
Generators |
[103306710:22401223801:2197] |
Generators of the group modulo torsion |
j |
-15851081728/6494855411 |
j-invariant |
L |
5.6756856127311 |
L(r)(E,1)/r! |
Ω |
0.090364970074861 |
Real period |
R |
7.8510588811582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5687c1 8272g1 |
Quadratic twists by: -4 -11 |