Atkin-Lehner |
2+ 7+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110768b |
Isogeny class |
Conductor |
110768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2740389686272 = 210 · 76 · 232 · 43 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-485155,-130067502] |
[a1,a2,a3,a4,a6] |
j |
12332902275190678500/2676161803 |
j-invariant |
L |
0.36179231201674 |
L(r)(E,1)/r! |
Ω |
0.18089619521011 |
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 |
55384d2 |
Quadratic twists by: -4 |