Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928l |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-1799125479424 = -1 · 212 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 0 3 7+ -6 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2704,-35152] |
[a1,a2,a3,a4,a6] |
j |
110592/91 |
j-invariant |
L |
1.8518859225058 |
L(r)(E,1)/r! |
Ω |
0.46297148062644 |
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 |
1183b1 75712bv1 1456j1 |
Quadratic twists by: -4 8 13 |