Atkin-Lehner |
2+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22382a |
Isogeny class |
Conductor |
22382 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
369360 |
Modular degree for the optimal curve |
Δ |
-8030554687071928832 = -1 · 29 · 198 · 314 |
Discriminant |
Eigenvalues |
2+ -1 2 -2 1 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,62446,-136184012] |
[a1,a2,a3,a4,a6] |
j |
1585615607/472842752 |
j-invariant |
L |
0.4385645176538 |
L(r)(E,1)/r! |
Ω |
0.10964112941345 |
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 |
22382g1 |
Quadratic twists by: -19 |