Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920hj |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-32598720 = -1 · 26 · 33 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,273] |
[a1,a2,a3,a4,a6] |
j |
-262144/509355 |
j-invariant |
L |
5.0136196730295 |
L(r)(E,1)/r! |
Ω |
1.6712065623784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73920bw1 18480bq1 |
Quadratic twists by: -4 8 |