Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224ew |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
4303400887296 = 210 · 36 · 78 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 3 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-251076,-48423368] |
[a1,a2,a3,a4,a6] |
Generators |
[-12622372354124639744025:-232305347940441349127:43587264430218921875] |
Generators of the group modulo torsion |
j |
406749952 |
j-invariant |
L |
7.1116060769345 |
L(r)(E,1)/r! |
Ω |
0.21327910934954 |
Real period |
R |
33.344128727017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224bf2 7056bo2 3136o2 28224gh2 |
Quadratic twists by: -4 8 -3 -7 |