Atkin-Lehner |
2- 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68080k |
Isogeny class |
Conductor |
68080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4030336000000 = -1 · 213 · 56 · 23 · 372 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2384,-84780] |
[a1,a2,a3,a4,a6] |
j |
365679263951/983968750 |
j-invariant |
L |
1.6092817452311 |
L(r)(E,1)/r! |
Ω |
0.40232043396185 |
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 |
8510e2 |
Quadratic twists by: -4 |