Atkin-Lehner |
2+ 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6670c |
Isogeny class |
Conductor |
6670 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
3699827015680 = 221 · 5 · 233 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 -3 -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15113,-710324] |
[a1,a2,a3,a4,a6] |
Generators |
[-121092:191387:1728] |
Generators of the group modulo torsion |
j |
381710801681656201/3699827015680 |
j-invariant |
L |
3.804177184266 |
L(r)(E,1)/r! |
Ω |
0.43084341648391 |
Real period |
R |
8.829604999681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53360r2 60030bj2 33350o2 |
Quadratic twists by: -4 -3 5 |