Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224cl |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3161682284544 = 212 · 38 · 76 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4116,-54880] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:216:1] |
Generators of the group modulo torsion |
j |
21952/9 |
j-invariant |
L |
3.7563153133178 |
L(r)(E,1)/r! |
Ω |
0.61787837350261 |
Real period |
R |
1.5198441450638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28224ci2 14112v1 9408k2 576b2 |
Quadratic twists by: -4 8 -3 -7 |