Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2112bb |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
209088 = 26 · 33 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32,-78] |
[a1,a2,a3,a4,a6] |
j |
58411072/3267 |
j-invariant |
L |
3.0136316073469 |
L(r)(E,1)/r! |
Ω |
2.0090877382313 |
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 |
2112s1 1056b2 6336cb1 52800ey1 |
Quadratic twists by: -4 8 -3 5 |