Atkin-Lehner |
2+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018j |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1477440 |
Modular degree for the optimal curve |
Δ |
-34516385237206808 = -1 · 23 · 136 · 197 |
Discriminant |
Eigenvalues |
2+ -1 0 1 6 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-946910,-355166612] |
[a1,a2,a3,a4,a6] |
j |
-413493625/152 |
j-invariant |
L |
1.3773835580942 |
L(r)(E,1)/r! |
Ω |
0.07652137179232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722e1 6422f1 |
Quadratic twists by: 13 -19 |