Atkin-Lehner |
2- 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13818j |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5712 |
Modular degree for the optimal curve |
Δ |
1625673882 = 2 · 3 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-393,-2451] |
[a1,a2,a3,a4,a6] |
j |
1164625/282 |
j-invariant |
L |
3.2734399343676 |
L(r)(E,1)/r! |
Ω |
1.0911466447892 |
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 |
110544de1 41454g1 13818bg1 |
Quadratic twists by: -4 -3 -7 |