Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69828u |
Isogeny class |
Conductor |
69828 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
238464 |
Modular degree for the optimal curve |
Δ |
372133802055312 = 24 · 33 · 11 · 238 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20278,604745] |
[a1,a2,a3,a4,a6] |
j |
736000/297 |
j-invariant |
L |
1.4599445396095 |
L(r)(E,1)/r! |
Ω |
0.48664818178348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
69828bb1 |
Quadratic twists by: -23 |