Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720be |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6988800 |
Modular degree for the optimal curve |
Δ |
-5.0149059063469E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-331406508,2322396693668] |
[a1,a2,a3,a4,a6] |
j |
-21569462179645467300176896/2687170946044921875 |
j-invariant |
L |
0.71625784620329 |
L(r)(E,1)/r! |
Ω |
0.08953223077546 |
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 |
55440q1 9240e1 |
Quadratic twists by: -4 -3 |