Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126er |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-212041455109576092 = -1 · 22 · 312 · 78 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,103405,18058191] |
[a1,a2,a3,a4,a6] |
j |
1425727406375/2472321852 |
j-invariant |
L |
1.7323712532305 |
L(r)(E,1)/r! |
Ω |
0.21654655980096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042p1 18018bm1 |
Quadratic twists by: -3 -7 |