Atkin-Lehner |
3- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
7227c |
Isogeny class |
Conductor |
7227 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3712 |
Modular degree for the optimal curve |
Δ |
57953313 = 38 · 112 · 73 |
Discriminant |
Eigenvalues |
1 3- 4 2 11+ -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1665,26568] |
[a1,a2,a3,a4,a6] |
j |
700463661841/79497 |
j-invariant |
L |
3.8042993232153 |
L(r)(E,1)/r! |
Ω |
1.9021496616077 |
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 |
115632bc1 2409e1 79497n1 |
Quadratic twists by: -4 -3 -11 |