Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5580f |
Isogeny class |
Conductor |
5580 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-694964448000 = -1 · 28 · 36 · 53 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,528,-39836] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1130:1] |
Generators of the group modulo torsion |
j |
87228416/3723875 |
j-invariant |
L |
3.7470986288944 |
L(r)(E,1)/r! |
Ω |
0.43437204374583 |
Real period |
R |
2.8754909398105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
22320bx2 89280bu2 620a2 27900m2 |
Quadratic twists by: -4 8 -3 5 |