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 |
-277897649541120 = -1 · 212 · 34 · 5 · 72 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15360,331380] |
[a1,a2,a3,a4,a6] |
Generators |
[-204:12518:27] |
Generators of the group modulo torsion |
j |
97838353751039/67846105845 |
j-invariant |
L |
8.886745234579 |
L(r)(E,1)/r! |
Ω |
0.34724284435074 |
Real period |
R |
6.3980765763989 |
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 |
4515e4 |
Quadratic twists by: -4 |