Atkin-Lehner |
2- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
8480d |
Isogeny class |
Conductor |
8480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4494400000000 = -1 · 212 · 58 · 532 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 0 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44161,3558735] |
[a1,a2,a3,a4,a6] |
j |
-2325360526755904/1097265625 |
j-invariant |
L |
1.5270190017105 |
L(r)(E,1)/r! |
Ω |
0.76350950085526 |
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 |
8480a2 16960h1 76320q2 42400c2 |
Quadratic twists by: -4 8 -3 5 |