Atkin-Lehner |
2+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080p |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
Δ |
1330753520096000000 = 211 · 56 · 75 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-782640,260391988] |
[a1,a2,a3,a4,a6] |
Generators |
[428:2002:1] [-874:16660:1] |
Generators of the group modulo torsion |
j |
25886923260626221922/649781992234375 |
j-invariant |
L |
8.7207842144278 |
L(r)(E,1)/r! |
Ω |
0.27053159260503 |
Real period |
R |
0.13431555458738 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40040n2 |
Quadratic twists by: -4 |