Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
3600bf |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2361960000000000 = 212 · 310 · 510 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36075,-1219750] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:1134:1] |
Generators of the group modulo torsion |
j |
111284641/50625 |
j-invariant |
L |
3.4730987310086 |
L(r)(E,1)/r! |
Ω |
0.36163415050677 |
Real period |
R |
2.4009753546102 |
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 |
225c4 14400dp3 1200j4 720h3 |
Quadratic twists by: -4 8 -3 5 |