Atkin-Lehner |
2- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6670f |
Isogeny class |
Conductor |
6670 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2736 |
Modular degree for the optimal curve |
Δ |
1707520 = 29 · 5 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -1 7 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-296,-1984] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:6:1] |
Generators of the group modulo torsion |
j |
2868735731329/1707520 |
j-invariant |
L |
6.0173860683398 |
L(r)(E,1)/r! |
Ω |
1.1510243235315 |
Real period |
R |
0.58087256573902 |
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 |
53360i1 60030s1 33350a1 |
Quadratic twists by: -4 -3 5 |