Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240cw |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4091396198400 = 212 · 32 · 52 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4240,41300] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:264:1] |
Generators of the group modulo torsion |
j |
2058561081361/998876025 |
j-invariant |
L |
8.886745234579 |
L(r)(E,1)/r! |
Ω |
0.69448568870149 |
Real period |
R |
3.1990382881995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994693 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4515e2 |
Quadratic twists by: -4 |