Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
3600bk |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
247949112960000000 = 213 · 318 · 57 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-246675,-40616750] |
[a1,a2,a3,a4,a6] |
Generators |
[-345:1850:1] |
Generators of the group modulo torsion |
j |
35578826569/5314410 |
j-invariant |
L |
3.1913633903325 |
L(r)(E,1)/r! |
Ω |
0.21636732975652 |
Real period |
R |
3.6874367700564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
450g5 14400ef4 1200p5 720j4 |
Quadratic twists by: -4 8 -3 5 |