Atkin-Lehner |
3- 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045bg |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
4104725625 = 38 · 54 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11- 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1764,28795] |
[a1,a2,a3,a4,a6] |
j |
832972004929/5630625 |
j-invariant |
L |
2.7913771681659 |
L(r)(E,1)/r! |
Ω |
1.3956885840804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015a1 |
Quadratic twists by: -3 |