Atkin-Lehner |
2+ 5- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6670b |
Isogeny class |
Conductor |
6670 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
1411372000 = 25 · 53 · 233 · 29 |
Discriminant |
Eigenvalues |
2+ 3 5- 4 5 -3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-319,1325] |
[a1,a2,a3,a4,a6] |
j |
3596344921161/1411372000 |
j-invariant |
L |
4.1415417926266 |
L(r)(E,1)/r! |
Ω |
1.3805139308755 |
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 |
53360q1 60030bl1 33350m1 |
Quadratic twists by: -4 -3 5 |