Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920fp |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.0374548467225E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-119868385,-1629890851775] |
[a1,a2,a3,a4,a6] |
j |
-5812831620646274843204552/31660609336013531671875 |
j-invariant |
L |
2.2149127071588 |
L(r)(E,1)/r! |
Ω |
0.020508451095451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ho2 36960u2 |
Quadratic twists by: -4 8 |