Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720df |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-154530459877376000 = -1 · 219 · 53 · 119 |
Discriminant |
Eigenvalues |
2- 1 5- -1 11- 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,69535,-17523937] |
[a1,a2,a3,a4,a6] |
j |
80062991/332750 |
j-invariant |
L |
1.9709306251059 |
L(r)(E,1)/r! |
Ω |
0.16424421875856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720bi2 9680r2 3520bd2 |
Quadratic twists by: -4 8 -11 |