Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240cz |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
80890306560 = 213 · 38 · 5 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-256880,-50197932] |
[a1,a2,a3,a4,a6] |
Generators |
[607:4230:1] |
Generators of the group modulo torsion |
j |
457674096098484721/19748610 |
j-invariant |
L |
8.7445418271836 |
L(r)(E,1)/r! |
Ω |
0.21206394768622 |
Real period |
R |
5.1544250694442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030s4 |
Quadratic twists by: -4 |