Atkin-Lehner |
2+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
8480a |
Isogeny class |
Conductor |
8480 |
Conductor |
∏ cp |
16 |
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] |
Generators |
[2252649:1653812:9261] |
Generators of the group modulo torsion |
j |
-2325360526755904/1097265625 |
j-invariant |
L |
5.7887175984954 |
L(r)(E,1)/r! |
Ω |
0.16466326502151 |
Real period |
R |
8.7887204194254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8480d2 16960i1 76320bu2 42400l2 |
Quadratic twists by: -4 8 -3 5 |