Atkin-Lehner |
5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
27775d |
Isogeny class |
Conductor |
27775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-271240234375 = -1 · 512 · 11 · 101 |
Discriminant |
Eigenvalues |
-1 2 5+ 4 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-463,25156] |
[a1,a2,a3,a4,a6] |
Generators |
[1938:15401:27] |
Generators of the group modulo torsion |
j |
-702595369/17359375 |
j-invariant |
L |
5.5014045285397 |
L(r)(E,1)/r! |
Ω |
0.8204067026378 |
Real period |
R |
6.7057040256393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5555a1 |
Quadratic twists by: 5 |