Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440ds |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
113542041600 = 212 · 38 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1668,20608] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:216:1] |
Generators of the group modulo torsion |
j |
171879616/38025 |
j-invariant |
L |
5.2801537971796 |
L(r)(E,1)/r! |
Ω |
0.99299206531943 |
Real period |
R |
1.3293544786487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37440dv2 18720br1 12480cv2 |
Quadratic twists by: -4 8 -3 |