Atkin-Lehner |
2- 3- 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20706ba |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-2345741328 = -1 · 24 · 3 · 73 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 1 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,290,-1324] |
[a1,a2,a3,a4,a6] |
Generators |
[10:46:1] |
Generators of the group modulo torsion |
j |
2696647030559/2345741328 |
j-invariant |
L |
6.8856400732309 |
L(r)(E,1)/r! |
Ω |
0.80088785532503 |
Real period |
R |
0.71645903433389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62118i1 |
Quadratic twists by: -3 |