Atkin-Lehner |
2- 3- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
54384v |
Isogeny class |
Conductor |
54384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
71808 |
Modular degree for the optimal curve |
Δ |
1824824229888 = 229 · 3 · 11 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ 1 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3888,-68268] |
[a1,a2,a3,a4,a6] |
j |
1587282504625/445513728 |
j-invariant |
L |
1.2348678350747 |
L(r)(E,1)/r! |
Ω |
0.6174339167378 |
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 |
6798i1 |
Quadratic twists by: -4 |