Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
73584bh |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6515099536102391808 = 217 · 36 · 74 · 734 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-807939,251100162] |
[a1,a2,a3,a4,a6] |
Generators |
[-369:22338:1] |
Generators of the group modulo torsion |
j |
19533135070647297/2181893652512 |
j-invariant |
L |
7.494958902789 |
L(r)(E,1)/r! |
Ω |
0.23000556182855 |
Real period |
R |
2.0366243655305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9198d4 8176a4 |
Quadratic twists by: -4 -3 |