Atkin-Lehner |
2- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
105710i |
Isogeny class |
Conductor |
105710 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
119880 |
Modular degree for the optimal curve |
Δ |
-390501619640 = -1 · 23 · 5 · 11 · 316 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 11- -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-981,-32717] |
[a1,a2,a3,a4,a6] |
j |
-117649/440 |
j-invariant |
L |
1.1712793685174 |
L(r)(E,1)/r! |
Ω |
0.39042657469036 |
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 |
110b1 |
Quadratic twists by: -31 |