Atkin-Lehner |
3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22785k |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
120628460925 = 33 · 52 · 78 · 31 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 1 -2 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18636,-985309] |
[a1,a2,a3,a4,a6] |
Generators |
[-5052:703:64] |
Generators of the group modulo torsion |
j |
124171177984/20925 |
j-invariant |
L |
11.719982562867 |
L(r)(E,1)/r! |
Ω |
0.4086145517863 |
Real period |
R |
1.5934580389639 |
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 |
68355v1 113925h1 22785h1 |
Quadratic twists by: -3 5 -7 |