Atkin-Lehner |
2+ 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6670a |
Isogeny class |
Conductor |
6670 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2320 |
Modular degree for the optimal curve |
Δ |
106720 = 25 · 5 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 3 -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1014,-12504] |
[a1,a2,a3,a4,a6] |
j |
115138814303449/106720 |
j-invariant |
L |
0.84613840749074 |
L(r)(E,1)/r! |
Ω |
0.84613840749074 |
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 |
53360n1 60030br1 33350n1 |
Quadratic twists by: -4 -3 5 |