Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ho |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
6240 |
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] |
Generators |
[-11245:1247400:1] |
Generators of the group modulo torsion |
j |
-5812831620646274843204552/31660609336013531671875 |
j-invariant |
L |
8.9184022643699 |
L(r)(E,1)/r! |
Ω |
0.04260235329734 |
Real period |
R |
0.13419269325673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000695 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920fp2 36960a2 |
Quadratic twists by: -4 8 |