Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570ch |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
38278800 = 24 · 32 · 52 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85,-85] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:18:1] |
Generators of the group modulo torsion |
j |
198155287/111600 |
j-invariant |
L |
7.7326654821704 |
L(r)(E,1)/r! |
Ω |
1.6925977221568 |
Real period |
R |
0.57106492146225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45570cs1 |
Quadratic twists by: -7 |