Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920et |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-69120743266713600 = -1 · 217 · 35 · 52 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20641,-12693695] |
[a1,a2,a3,a4,a6] |
Generators |
[7311:33040:27] |
Generators of the group modulo torsion |
j |
-7420395059282/527349420675 |
j-invariant |
L |
5.6244141059899 |
L(r)(E,1)/r! |
Ω |
0.1528987106146 |
Real period |
R |
4.5981536429416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ck2 18480bj2 |
Quadratic twists by: -4 8 |