Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392g |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1111242896025959424 = 210 · 3 · 78 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-275864,23283324] |
[a1,a2,a3,a4,a6] |
j |
469732169092/224827239 |
j-invariant |
L |
0.98105728344161 |
L(r)(E,1)/r! |
Ω |
0.24526432086058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56784m3 85176cc3 2184h4 |
Quadratic twists by: -4 -3 13 |