Atkin-Lehner |
2- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39688i |
Isogeny class |
Conductor |
39688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-1546813685296 = -1 · 24 · 119 · 41 |
Discriminant |
Eigenvalues |
2- 0 1 -1 11- -2 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51062,-4441547] |
[a1,a2,a3,a4,a6] |
j |
-519446808576/54571 |
j-invariant |
L |
0.6351881066411 |
L(r)(E,1)/r! |
Ω |
0.15879702665709 |
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 |
79376h1 3608a1 |
Quadratic twists by: -4 -11 |