Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
12320h |
Isogeny class |
Conductor |
12320 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
95070921303142400 = 212 · 52 · 78 · 115 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11- -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-874945,314948625] |
[a1,a2,a3,a4,a6] |
j |
18084500649301589056/23210674146275 |
j-invariant |
L |
3.3703705991882 |
L(r)(E,1)/r! |
Ω |
0.33703705991882 |
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 |
12320k2 24640bd1 110880y2 61600s2 |
Quadratic twists by: -4 8 -3 5 |