Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
13818x |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-31998139019406 = -1 · 2 · 310 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -3 5 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1765,273503] |
[a1,a2,a3,a4,a6] |
j |
-105484561/5550606 |
j-invariant |
L |
5.4496263573032 |
L(r)(E,1)/r! |
Ω |
0.54496263573032 |
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 |
110544br1 41454d1 13818m1 |
Quadratic twists by: -4 -3 -7 |