Atkin-Lehner |
2+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800u |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9464000000000 = 212 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ -2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6833,161537] |
[a1,a2,a3,a4,a6] |
j |
4410944/1183 |
j-invariant |
L |
1.3601061304159 |
L(r)(E,1)/r! |
Ω |
0.68005306793281 |
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 |
72800cc2 72800ci2 |
Quadratic twists by: -4 5 |