Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66924n |
Isogeny class |
Conductor |
66924 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-5573690117424 = -1 · 24 · 38 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4056,54925] |
[a1,a2,a3,a4,a6] |
j |
131072/99 |
j-invariant |
L |
3.8946236677587 |
L(r)(E,1)/r! |
Ω |
0.48682795824666 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22308e1 396b1 |
Quadratic twists by: -3 13 |