Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11552t |
Isogeny class |
Conductor |
11552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-3661298642944 = -1 · 212 · 197 |
Discriminant |
Eigenvalues |
2- 0 -1 1 -3 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2888,109744] |
[a1,a2,a3,a4,a6] |
Generators |
[57:361:1] |
Generators of the group modulo torsion |
j |
-13824/19 |
j-invariant |
L |
4.0814391353918 |
L(r)(E,1)/r! |
Ω |
0.7102344041207 |
Real period |
R |
0.71832607511543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11552g1 23104j1 103968v1 608a1 |
Quadratic twists by: -4 8 -3 -19 |