Atkin-Lehner |
2- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27968y |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-59447885824 = -1 · 214 · 193 · 232 |
Discriminant |
Eigenvalues |
2- 0 -1 1 -1 2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128,11744] |
[a1,a2,a3,a4,a6] |
j |
-14155776/3628411 |
j-invariant |
L |
1.8097580249528 |
L(r)(E,1)/r! |
Ω |
0.90487901247658 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27968m1 6992m1 |
Quadratic twists by: -4 8 |