Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6192v |
Isogeny class |
Conductor |
6192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-10400182272 = -1 · 212 · 310 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -5 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2784,56752] |
[a1,a2,a3,a4,a6] |
j |
-799178752/3483 |
j-invariant |
L |
2.5823749209108 |
L(r)(E,1)/r! |
Ω |
1.2911874604554 |
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 |
387a1 24768cd1 2064m1 |
Quadratic twists by: -4 8 -3 |