Atkin-Lehner |
3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675l |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-18076921875 = -1 · 37 · 56 · 232 |
Discriminant |
Eigenvalues |
2 3+ 5+ 1 -4 3 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-958,13443] |
[a1,a2,a3,a4,a6] |
j |
-11776000/2187 |
j-invariant |
L |
2.3567320925239 |
L(r)(E,1)/r! |
Ω |
1.1783660462627 |
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 |
119025bt1 1587e1 39675m1 |
Quadratic twists by: -3 5 -23 |