Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920fj |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
3.8201625E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65178785,179406396225] |
[a1,a2,a3,a4,a6] |
Generators |
[8920:554675:1] |
Generators of the group modulo torsion |
j |
233632133015204766393938/29145526885986328125 |
j-invariant |
L |
4.7587026050222 |
L(r)(E,1)/r! |
Ω |
0.075777411534435 |
Real period |
R |
6.2798431709445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003485 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920ds4 18480t3 |
Quadratic twists by: -4 8 |