Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280fa |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-361584000000000000 = -1 · 216 · 36 · 512 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-163692,-38559024] |
[a1,a2,a3,a4,a6] |
j |
-10153098934884/7568359375 |
j-invariant |
L |
2.7586851450811 |
L(r)(E,1)/r! |
Ω |
0.11494521188309 |
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 |
89280cp3 22320e3 9920r4 |
Quadratic twists by: -4 8 -3 |