Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350cq |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-35265375000000 = -1 · 26 · 38 · 59 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6070,218697] |
[a1,a2,a3,a4,a6] |
j |
17373979/24768 |
j-invariant |
L |
5.3008454795031 |
L(r)(E,1)/r! |
Ω |
0.44173712329193 |
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 |
6450h1 19350bn1 |
Quadratic twists by: -3 5 |