Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200cm |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
216513000000 = 26 · 39 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10125,-391500] |
[a1,a2,a3,a4,a6] |
j |
5832000/11 |
j-invariant |
L |
3.8079391259206 |
L(r)(E,1)/r! |
Ω |
0.47599238410005 |
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 |
79200j1 79200i1 3168b1 |
Quadratic twists by: -4 -3 5 |