Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72128b |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
799429028478976 = 218 · 78 · 232 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27244,-1070160] |
[a1,a2,a3,a4,a6] |
j |
72511713/25921 |
j-invariant |
L |
3.0609127414564 |
L(r)(E,1)/r! |
Ω |
0.38261409197862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72128bw2 1127a2 10304h2 |
Quadratic twists by: -4 8 -7 |