Atkin-Lehner |
2- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111320r |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
397056 |
Modular degree for the optimal curve |
Δ |
69417980023040 = 28 · 5 · 119 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11+ 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49247,-4187326] |
[a1,a2,a3,a4,a6] |
j |
21882096/115 |
j-invariant |
L |
0.64116764507634 |
L(r)(E,1)/r! |
Ω |
0.32058412455131 |
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 |
111320h1 |
Quadratic twists by: -11 |