Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
3330f |
Isogeny class |
Conductor |
3330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1161741393735566400 = 26 · 318 · 52 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-263925,-5795339] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:5912:1] |
Generators of the group modulo torsion |
j |
2788936974993502801/1593609593601600 |
j-invariant |
L |
2.3226521327537 |
L(r)(E,1)/r! |
Ω |
0.22812807182718 |
Real period |
R |
2.5453379259187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26640be3 106560cl3 1110k3 16650bu4 |
Quadratic twists by: -4 8 -3 5 |