Atkin-Lehner |
2- 3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
36582m |
Isogeny class |
Conductor |
36582 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-48074015808 = -1 · 26 · 36 · 7 · 133 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-448,-11200] |
[a1,a2,a3,a4,a6] |
j |
-9945310362625/48074015808 |
j-invariant |
L |
5.6303577793992 |
L(r)(E,1)/r! |
Ω |
0.46919648161619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
109746j1 |
Quadratic twists by: -3 |