Atkin-Lehner |
2+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22382d |
Isogeny class |
Conductor |
22382 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1718021482358 = 2 · 197 · 312 |
Discriminant |
Eigenvalues |
2+ 2 2 0 -4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-72929,7549943] |
[a1,a2,a3,a4,a6] |
Generators |
[173397:13798264:27] |
Generators of the group modulo torsion |
j |
911826451873/36518 |
j-invariant |
L |
6.3107093044136 |
L(r)(E,1)/r! |
Ω |
0.78757011344535 |
Real period |
R |
8.0128857058916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1178d2 |
Quadratic twists by: -19 |