Atkin-Lehner |
2+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
22022j |
Isogeny class |
Conductor |
22022 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
1311393615519988 = 22 · 76 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 11- 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27591,-277818] |
[a1,a2,a3,a4,a6] |
j |
10835823625/6117748 |
j-invariant |
L |
1.5965423934901 |
L(r)(E,1)/r! |
Ω |
0.39913559837252 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
22022n1 |
Quadratic twists by: -11 |