Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
7200bz |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2448880128000 = -1 · 212 · 314 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4620,142400] |
[a1,a2,a3,a4,a6] |
j |
-29218112/6561 |
j-invariant |
L |
3.1142706054583 |
L(r)(E,1)/r! |
Ω |
0.77856765136459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7200ca2 14400ff1 2400h2 7200z2 |
Quadratic twists by: -4 8 -3 5 |