Atkin-Lehner |
2- 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
84816n |
Isogeny class |
Conductor |
84816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
109042163712 = 213 · 36 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29091,-1909726] |
[a1,a2,a3,a4,a6] |
j |
911826451873/36518 |
j-invariant |
L |
1.4622476211981 |
L(r)(E,1)/r! |
Ω |
0.36556190826308 |
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 |
10602e2 9424d2 |
Quadratic twists by: -4 -3 |