Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
3600bh |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-45562500000000 = -1 · 28 · 36 · 512 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8175,-431750] |
[a1,a2,a3,a4,a6] |
Generators |
[243430:2724750:1331] |
Generators of the group modulo torsion |
j |
-20720464/15625 |
j-invariant |
L |
3.6798745663185 |
L(r)(E,1)/r! |
Ω |
0.24308350862777 |
Real period |
R |
7.569157173787 |
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 |
900e4 14400dw4 400e4 720i4 |
Quadratic twists by: -4 8 -3 5 |