Atkin-Lehner |
2- 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536v |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
957355651324182528 = 218 · 311 · 11 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-591128,-168282384] |
[a1,a2,a3,a4,a6] |
j |
5577108481460841625/233729407061568 |
j-invariant |
L |
2.7619850239612 |
L(r)(E,1)/r! |
Ω |
0.17262406399758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442f1 78144cp1 58608bd1 |
Quadratic twists by: -4 8 -3 |