Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018bi |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2044224 |
Modular degree for the optimal curve |
Δ |
-3991184124533860904 = -1 · 23 · 139 · 196 |
Discriminant |
Eigenvalues |
2- 1 3 3 0 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,181756,91389752] |
[a1,a2,a3,a4,a6] |
j |
1331/8 |
j-invariant |
L |
8.5952691385518 |
L(r)(E,1)/r! |
Ω |
0.17906812106486 |
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 |
122018r1 338d1 |
Quadratic twists by: 13 -19 |