Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518bf |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
1474427653232292 = 22 · 39 · 117 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-717311,234006787] |
[a1,a2,a3,a4,a6] |
j |
1170572220819/42284 |
j-invariant |
L |
1.7896637009099 |
L(r)(E,1)/r! |
Ω |
0.44741592633337 |
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 |
67518e1 6138a1 |
Quadratic twists by: -3 -11 |