Atkin-Lehner |
3- 5+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
126945j |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-24812511145695 = -1 · 310 · 5 · 7 · 13 · 314 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4027,217532] |
[a1,a2,a3,a4,a6] |
j |
9909281685239/34036366455 |
j-invariant |
L |
1.9050975189926 |
L(r)(E,1)/r! |
Ω |
0.47627432970929 |
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 |
42315g1 |
Quadratic twists by: -3 |