Atkin-Lehner |
2- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
27808f |
Isogeny class |
Conductor |
27808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-611776 = -1 · 26 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 0 -2 4 11+ -2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19,20] |
[a1,a2,a3,a4,a6] |
j |
11852352/9559 |
j-invariant |
L |
1.8655557352848 |
L(r)(E,1)/r! |
Ω |
1.8655557352852 |
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 |
27808e1 55616i1 |
Quadratic twists by: -4 8 |