Atkin-Lehner |
2- 3+ 7+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28014m |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9082781509962384 = 24 · 312 · 74 · 232 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-54649,1753271] |
[a1,a2,a3,a4,a6] |
Generators |
[273:2560:1] |
Generators of the group modulo torsion |
j |
18049736530420002577/9082781509962384 |
j-invariant |
L |
5.3193691764335 |
L(r)(E,1)/r! |
Ω |
0.36348851061116 |
Real period |
R |
3.6585538615028 |
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 |
84042r2 |
Quadratic twists by: -3 |