Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710bt |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-34347308117760 = -1 · 28 · 34 · 5 · 117 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3451,-294007] |
[a1,a2,a3,a4,a6] |
j |
-2565726409/19388160 |
j-invariant |
L |
2.2019785080691 |
L(r)(E,1)/r! |
Ω |
0.27524731294071 |
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 |
5610a1 |
Quadratic twists by: -11 |