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 |
3779136000000000 = 215 · 310 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19200675,-32383430750] |
[a1,a2,a3,a4,a6] |
Generators |
[9250021:548516934:1331] |
Generators of the group modulo torsion |
j |
16778985534208729/81000 |
j-invariant |
L |
3.1913633903325 |
L(r)(E,1)/r! |
Ω |
0.072122443252174 |
Real period |
R |
11.062310310169 |
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 |
450g8 14400ef7 1200p8 720j7 |
Quadratic twists by: -4 8 -3 5 |