Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21660x |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
5458320 |
Modular degree for the optimal curve |
Δ |
-2.8503608252264E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-677842961,-6793400894640] |
[a1,a2,a3,a4,a6] |
j |
-351119534556135424/29056536675 |
j-invariant |
L |
1.6865141193071 |
L(r)(E,1)/r! |
Ω |
0.014793983502694 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86640cd1 64980bq1 108300u1 21660c1 |
Quadratic twists by: -4 -3 5 -19 |