Atkin-Lehner |
2- 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17556n |
Isogeny class |
Conductor |
17556 |
Conductor |
∏ cp |
567 |
Product of Tamagawa factors cp |
deg |
780192 |
Modular degree for the optimal curve |
Δ |
-1.7112884247673E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-269764,-631786012] |
[a1,a2,a3,a4,a6] |
j |
-8480810018874828112/668472040924735509 |
j-invariant |
L |
5.0295990369916 |
L(r)(E,1)/r! |
Ω |
0.079834905349073 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70224bc1 52668w1 122892n1 |
Quadratic twists by: -4 -3 -7 |