Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384d |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1001273237025325056 = 230 · 38 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1438817,-662061855] |
[a1,a2,a3,a4,a6] |
Generators |
[-91262622918250049320:-9180260621864274789:126585405864807625] |
Generators of the group modulo torsion |
j |
1256610758033695897/3819554279424 |
j-invariant |
L |
8.2481886625454 |
L(r)(E,1)/r! |
Ω |
0.1378724510201 |
Real period |
R |
29.912388588223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001816 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72384cv2 2262h2 |
Quadratic twists by: -4 8 |