Atkin-Lehner |
2+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30272m |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
108363588608 = 210 · 113 · 433 |
Discriminant |
Eigenvalues |
2+ 2 0 -1 11- -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1193,-559] |
[a1,a2,a3,a4,a6] |
j |
183530848000/105823817 |
j-invariant |
L |
2.6560796881292 |
L(r)(E,1)/r! |
Ω |
0.88535989604283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30272bc2 1892c2 |
Quadratic twists by: -4 8 |