Atkin-Lehner |
2+ 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552x |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-602489674752 = -1 · 210 · 3 · 73 · 833 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,247,37233] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1743:1] |
Generators of the group modulo torsion |
j |
1620896000/588368823 |
j-invariant |
L |
5.5902260034993 |
L(r)(E,1)/r! |
Ω |
0.71113320051063 |
Real period |
R |
0.87344567910057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552cv2 6972b2 |
Quadratic twists by: -4 8 |