Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8820m |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3431289801229920000 = 28 · 312 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10317783,-12756076018] |
[a1,a2,a3,a4,a6] |
j |
16129950234928/455625 |
j-invariant |
L |
1.0108458661085 |
L(r)(E,1)/r! |
Ω |
0.084237155509045 |
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 |
35280ee2 2940e2 44100bt2 8820z2 |
Quadratic twists by: -4 -3 5 -7 |