Atkin-Lehner |
3- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12087h |
Isogeny class |
Conductor |
12087 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
237908421 = 311 · 17 · 79 |
Discriminant |
Eigenvalues |
0 3- 3 1 4 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-156,108] |
[a1,a2,a3,a4,a6] |
j |
575930368/326349 |
j-invariant |
L |
3.0289778269826 |
L(r)(E,1)/r! |
Ω |
1.5144889134913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4029b1 |
Quadratic twists by: -3 |