Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11712l |
Isogeny class |
Conductor |
11712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
43555249717248 = 220 · 3 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9057,93183] |
[a1,a2,a3,a4,a6] |
j |
313461959257/166150092 |
j-invariant |
L |
5.0584130280796 |
L(r)(E,1)/r! |
Ω |
0.56204589200884 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11712u3 366e4 35136q3 |
Quadratic twists by: -4 8 -3 |