Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
3690r |
Isogeny class |
Conductor |
3690 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
5144925081600 = 212 · 36 · 52 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13883,623531] |
[a1,a2,a3,a4,a6] |
j |
405897921250921/7057510400 |
j-invariant |
L |
3.0683293177891 |
L(r)(E,1)/r! |
Ω |
0.76708232944727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
29520bp3 118080cp3 410c3 18450n3 |
Quadratic twists by: -4 8 -3 5 |