Atkin-Lehner |
2+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
52640d |
Isogeny class |
Conductor |
52640 |
Conductor |
∏ cp |
24 |
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] |
j |
-3038544131904/812145753125 |
j-invariant |
L |
1.198425141698 |
L(r)(E,1)/r! |
Ω |
0.19973752391503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52640k2 105280q1 |
Quadratic twists by: -4 8 |