Atkin-Lehner |
2- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27968bf |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-643264 = -1 · 26 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 2 -1 3 5 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,39] |
[a1,a2,a3,a4,a6] |
j |
-4096/10051 |
j-invariant |
L |
4.6314041660133 |
L(r)(E,1)/r! |
Ω |
2.3157020830065 |
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 |
27968t1 6992r1 |
Quadratic twists by: -4 8 |