Atkin-Lehner |
2- 3+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28116b |
Isogeny class |
Conductor |
28116 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-383277312 = -1 · 28 · 33 · 11 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105,846] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:14:1] |
Generators of the group modulo torsion |
j |
18522000/55451 |
j-invariant |
L |
6.2907767226824 |
L(r)(E,1)/r! |
Ω |
1.1918365565342 |
Real period |
R |
1.7594069948024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112464q2 28116a2 |
Quadratic twists by: -4 -3 |