Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600p |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3494480000000 = 210 · 57 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11- 2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4408,69312] |
[a1,a2,a3,a4,a6] |
j |
592143556/218405 |
j-invariant |
L |
5.7882475132104 |
L(r)(E,1)/r! |
Ω |
0.72353094282176 |
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 |
41800s2 16720j2 |
Quadratic twists by: -4 5 |