Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2112bc |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-101376 = -1 · 210 · 32 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11,11] |
[a1,a2,a3,a4,a6] |
j |
131072/99 |
j-invariant |
L |
2.1497740551386 |
L(r)(E,1)/r! |
Ω |
2.1497740551386 |
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 |
2112c1 528e1 6336ca1 52800fa1 |
Quadratic twists by: -4 8 -3 5 |