Atkin-Lehner |
2- 3- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
83448k |
Isogeny class |
Conductor |
83448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-589144300618752 = -1 · 210 · 37 · 19 · 614 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219,-1167802] |
[a1,a2,a3,a4,a6] |
j |
-1556068/789212937 |
j-invariant |
L |
1.8894997732881 |
L(r)(E,1)/r! |
Ω |
0.23618747284532 |
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 |
27816a3 |
Quadratic twists by: -3 |