Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240cw |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15230143057920 = 212 · 3 · 5 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55840,5056820] |
[a1,a2,a3,a4,a6] |
Generators |
[1228:42306:1] |
Generators of the group modulo torsion |
j |
4701189640361761/3718296645 |
j-invariant |
L |
8.886745234579 |
L(r)(E,1)/r! |
Ω |
0.69448568870149 |
Real period |
R |
6.3980765763989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994693 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4515e3 |
Quadratic twists by: -4 |