Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
8680n |
Isogeny class |
Conductor |
8680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33098992640 = 210 · 5 · 7 · 314 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1067,10166] |
[a1,a2,a3,a4,a6] |
j |
131194918404/32323235 |
j-invariant |
L |
2.1890339338064 |
L(r)(E,1)/r! |
Ω |
1.0945169669032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17360n3 69440h4 78120c4 43400j4 |
Quadratic twists by: -4 8 -3 5 |