Atkin-Lehner |
3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22785j |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-2680632465 = -1 · 3 · 5 · 78 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,121,2447] |
[a1,a2,a3,a4,a6] |
Generators |
[-545:5571:125] |
Generators of the group modulo torsion |
j |
34391/465 |
j-invariant |
L |
6.6753861399032 |
L(r)(E,1)/r! |
Ω |
1.0651755003938 |
Real period |
R |
6.2669354838104 |
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 |
68355u1 113925f1 22785g1 |
Quadratic twists by: -3 5 -7 |