Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200gp |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-1747200000000 = -1 · 214 · 3 · 58 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2792,29588] |
[a1,a2,a3,a4,a6] |
j |
1503815/1092 |
j-invariant |
L |
3.2004566970961 |
L(r)(E,1)/r! |
Ω |
0.53340947342102 |
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 |
13650r1 109200dx1 |
Quadratic twists by: -4 5 |