Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
73584bl |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1222574504804352 = 217 · 36 · 74 · 732 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35307,1921050] |
[a1,a2,a3,a4,a6] |
Generators |
[213:-2016:1] |
Generators of the group modulo torsion |
j |
1630116669609/409437728 |
j-invariant |
L |
5.1206655621107 |
L(r)(E,1)/r! |
Ω |
0.45515669507278 |
Real period |
R |
0.70314597405532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9198j2 8176b2 |
Quadratic twists by: -4 -3 |