Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608q |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
469977552 = 24 · 38 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- 0 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-966,-11509] |
[a1,a2,a3,a4,a6] |
j |
8546879488/40293 |
j-invariant |
L |
1.7132016419873 |
L(r)(E,1)/r! |
Ω |
0.85660082108403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29304m1 19536b1 |
Quadratic twists by: -4 -3 |