Atkin-Lehner |
5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20825z |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
12250202125 = 53 · 78 · 17 |
Discriminant |
Eigenvalues |
0 1 5- 7+ 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1143,-14276] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:241:8] |
Generators of the group modulo torsion |
j |
229376/17 |
j-invariant |
L |
5.3492171055966 |
L(r)(E,1)/r! |
Ω |
0.82486933872046 |
Real period |
R |
1.080821097859 |
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 |
20825w1 20825ba1 |
Quadratic twists by: 5 -7 |