Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384r |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
6113942208 = 26 · 37 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1572519,-759000332] |
[a1,a2,a3,a4,a6] |
j |
9217304063844205888/131043 |
j-invariant |
L |
0.53927576310238 |
L(r)(E,1)/r! |
Ω |
0.13481883789184 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384bu1 60192j4 40128ba1 |
Quadratic twists by: -4 8 -3 |