Atkin-Lehner |
7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22253c |
Isogeny class |
Conductor |
22253 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54400 |
Modular degree for the optimal curve |
Δ |
-9131266490269 = -1 · 7 · 11 · 179 |
Discriminant |
Eigenvalues |
1 2 3 7+ 11- -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4196,177377] |
[a1,a2,a3,a4,a6] |
j |
-68921/77 |
j-invariant |
L |
5.3010908447707 |
L(r)(E,1)/r! |
Ω |
0.66263635559634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22253f1 |
Quadratic twists by: 17 |