Atkin-Lehner |
2+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018i |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
128701440 |
Modular degree for the optimal curve |
Δ |
-6.4016628466877E+23 |
Discriminant |
Eigenvalues |
2+ 1 -4 -2 -3 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6299394053,-192440940653648] |
[a1,a2,a3,a4,a6] |
j |
-934165699635529/21632 |
j-invariant |
L |
0.067784058554722 |
L(r)(E,1)/r! |
Ω |
0.0084731494071172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386j1 122018w1 |
Quadratic twists by: 13 -19 |