Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8892h |
Isogeny class |
Conductor |
8892 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
33604077312 = 28 · 312 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11775,-491722] |
[a1,a2,a3,a4,a6] |
j |
967473250000/180063 |
j-invariant |
L |
1.8332604421696 |
L(r)(E,1)/r! |
Ω |
0.45831511054239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35568bg2 2964a2 115596k2 |
Quadratic twists by: -4 -3 13 |