Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55660j |
Isogeny class |
Conductor |
55660 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3991680 |
Modular degree for the optimal curve |
Δ |
-1.4516709675537E+23 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5324444,-17712577144] |
[a1,a2,a3,a4,a6] |
j |
2514082961456/21862578125 |
j-invariant |
L |
0.61291900236139 |
L(r)(E,1)/r! |
Ω |
0.051076583315763 |
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 |
55660k1 |
Quadratic twists by: -11 |