Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2112bb |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-32845824 = -1 · 212 · 36 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,-265] |
[a1,a2,a3,a4,a6] |
j |
314432/8019 |
j-invariant |
L |
3.0136316073469 |
L(r)(E,1)/r! |
Ω |
1.0045438691156 |
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 |
2112s2 1056b1 6336cb2 52800ey2 |
Quadratic twists by: -4 8 -3 5 |