Atkin-Lehner |
2- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22382g |
Isogeny class |
Conductor |
22382 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
-170696233472 = -1 · 29 · 192 · 314 |
Discriminant |
Eigenvalues |
2- 1 2 -2 1 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,173,19873] |
[a1,a2,a3,a4,a6] |
Generators |
[96:913:1] |
Generators of the group modulo torsion |
j |
1585615607/472842752 |
j-invariant |
L |
9.8972619864691 |
L(r)(E,1)/r! |
Ω |
0.78870429121308 |
Real period |
R |
0.69715341258188 |
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 |
22382a1 |
Quadratic twists by: -19 |