Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5440h |
Isogeny class |
Conductor |
5440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-870400000000 = -1 · 217 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2068,26544] |
[a1,a2,a3,a4,a6] |
Generators |
[24:300:1] |
Generators of the group modulo torsion |
j |
7462174302/6640625 |
j-invariant |
L |
4.0389924216285 |
L(r)(E,1)/r! |
Ω |
0.57894907294647 |
Real period |
R |
3.4882104578497 |
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 |
5440v4 680a4 48960be3 27200a3 |
Quadratic twists by: -4 8 -3 5 |