Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22022t |
Isogeny class |
Conductor |
22022 |
Conductor |
∏ cp |
77 |
Product of Tamagawa factors cp |
deg |
440440 |
Modular degree for the optimal curve |
Δ |
-38843262132426752 = -1 · 211 · 77 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 1 4 7- 11- 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-557631,-160602727] |
[a1,a2,a3,a4,a6] |
j |
-10824513276632329/21926008832 |
j-invariant |
L |
6.725442101653 |
L(r)(E,1)/r! |
Ω |
0.087343403917571 |
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 |
182c1 |
Quadratic twists by: -11 |