Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18096be |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-103727008579584 = -1 · 223 · 3 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -2 13- 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2776,492308] |
[a1,a2,a3,a4,a6] |
j |
-577801395289/25323976704 |
j-invariant |
L |
1.9813997467518 |
L(r)(E,1)/r! |
Ω |
0.49534993668795 |
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 |
2262b1 72384bu1 54288bx1 |
Quadratic twists by: -4 8 -3 |