Atkin-Lehner |
2- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
52640k |
Isogeny class |
Conductor |
52640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3326549004800000 = -1 · 212 · 55 · 76 · 472 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4828,2777952] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:1692:1] |
Generators of the group modulo torsion |
j |
-3038544131904/812145753125 |
j-invariant |
L |
3.3546937465307 |
L(r)(E,1)/r! |
Ω |
0.36373666506166 |
Real period |
R |
2.3057159676223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998847 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52640d2 105280l1 |
Quadratic twists by: -4 8 |