Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23716j |
Isogeny class |
Conductor |
23716 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-178570475776 = -1 · 28 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 11- -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4132,105624] |
[a1,a2,a3,a4,a6] |
j |
-2141392/49 |
j-invariant |
L |
2.0256997102644 |
L(r)(E,1)/r! |
Ω |
1.0128498551322 |
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 |
94864de1 3388c1 23716i1 |
Quadratic twists by: -4 -7 -11 |