Atkin-Lehner |
2- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
54418g |
Isogeny class |
Conductor |
54418 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-3503240050492 = -1 · 22 · 73 · 136 · 232 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 4 13+ -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1384,92551] |
[a1,a2,a3,a4,a6] |
Generators |
[23894:1293621:8] |
Generators of the group modulo torsion |
j |
-60698457/725788 |
j-invariant |
L |
10.523265550793 |
L(r)(E,1)/r! |
Ω |
0.67208527736798 |
Real period |
R |
7.8288171942177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
322a1 |
Quadratic twists by: 13 |