Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710cg |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-8541091680497418240 = -1 · 214 · 32 · 5 · 119 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,510799,-5109015] |
[a1,a2,a3,a4,a6] |
j |
6250857632461/3622256640 |
j-invariant |
L |
5.7969417130632 |
L(r)(E,1)/r! |
Ω |
0.13802242170265 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61710t1 |
Quadratic twists by: -11 |