Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56628o |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-103039402752 = -1 · 28 · 39 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 3 11- 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,-15532] |
[a1,a2,a3,a4,a6] |
j |
-90112/4563 |
j-invariant |
L |
3.723295968222 |
L(r)(E,1)/r! |
Ω |
0.46541199590636 |
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 |
18876c1 56628x1 |
Quadratic twists by: -3 -11 |