Atkin-Lehner |
2- 7+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
118286j |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
249984 |
Modular degree for the optimal curve |
Δ |
473151806876 = 22 · 78 · 172 · 71 |
Discriminant |
Eigenvalues |
2- -2 -1 7+ 4 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5881,169917] |
[a1,a2,a3,a4,a6] |
j |
3902092369/82076 |
j-invariant |
L |
3.736994914645 |
L(r)(E,1)/r! |
Ω |
0.93424865970331 |
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 |
118286p1 |
Quadratic twists by: -7 |