Atkin-Lehner |
5+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22475f |
Isogeny class |
Conductor |
22475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-295335546875 = -1 · 58 · 293 · 31 |
Discriminant |
Eigenvalues |
0 -1 5+ 1 3 4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,717,24843] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1812:1] |
Generators of the group modulo torsion |
j |
2605285376/18901475 |
j-invariant |
L |
3.9621143201402 |
L(r)(E,1)/r! |
Ω |
0.70770887109308 |
Real period |
R |
0.46654239734914 |
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 |
4495c1 |
Quadratic twists by: 5 |