Atkin-Lehner |
2- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
22022q |
Isogeny class |
Conductor |
22022 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
166600 |
Modular degree for the optimal curve |
Δ |
-589360305742208 = -1 · 27 · 7 · 116 · 135 |
Discriminant |
Eigenvalues |
2- 3 0 7+ 11- 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2685,-1168571] |
[a1,a2,a3,a4,a6] |
j |
-1207949625/332678528 |
j-invariant |
L |
8.0774297001581 |
L(r)(E,1)/r! |
Ω |
0.23078370571881 |
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 |
182e1 |
Quadratic twists by: -11 |