Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28336i |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-82289773764352 = -1 · 28 · 73 · 116 · 232 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8375,-526794] |
[a1,a2,a3,a4,a6] |
Generators |
[125:616:1] |
Generators of the group modulo torsion |
j |
-253768781250000/321444428767 |
j-invariant |
L |
5.3002154219899 |
L(r)(E,1)/r! |
Ω |
0.23818257674129 |
Real period |
R |
1.2362634427816 |
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 |
14168b2 113344ds2 |
Quadratic twists by: -4 8 |