Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22506z |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2208 |
Modular degree for the optimal curve |
Δ |
22506 = 2 · 3 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 11- -1 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19,23] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-9:8] |
Generators of the group modulo torsion |
j |
6289657/186 |
j-invariant |
L |
8.2473116185223 |
L(r)(E,1)/r! |
Ω |
3.7930770590651 |
Real period |
R |
2.1743063718708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67518o1 22506g1 |
Quadratic twists by: -3 -11 |