Atkin-Lehner |
2- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6580a |
Isogeny class |
Conductor |
6580 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3888 |
Modular degree for the optimal curve |
Δ |
-6511778560 = -1 · 28 · 5 · 72 · 473 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,139,-3785] |
[a1,a2,a3,a4,a6] |
j |
1151860736/25436635 |
j-invariant |
L |
1.2962892836754 |
L(r)(E,1)/r! |
Ω |
0.64814464183768 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
26320e1 105280s1 59220z1 32900a1 |
Quadratic twists by: -4 8 -3 5 |