Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68244m |
Isogeny class |
Conductor |
68244 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
10683023039568 = 24 · 36 · 117 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 2 11- 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21941,-1248348] |
[a1,a2,a3,a4,a6] |
j |
41213231104/376893 |
j-invariant |
L |
7.0647369268853 |
L(r)(E,1)/r! |
Ω |
0.39248538410071 |
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 |
6204g1 |
Quadratic twists by: -11 |