Atkin-Lehner |
3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23985g |
Isogeny class |
Conductor |
23985 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-5540579971875 = -1 · 39 · 55 · 133 · 41 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3327,-85847] |
[a1,a2,a3,a4,a6] |
j |
5586690166784/7600246875 |
j-invariant |
L |
4.864794026245 |
L(r)(E,1)/r! |
Ω |
0.40539950218708 |
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 |
7995d1 119925u1 |
Quadratic twists by: -3 5 |