Atkin-Lehner |
2- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080bc |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10260490240000 = 214 · 54 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8683,270618] |
[a1,a2,a3,a4,a6] |
j |
17675559395649/2505002500 |
j-invariant |
L |
2.7794411180597 |
L(r)(E,1)/r! |
Ω |
0.69486028003111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10010m2 |
Quadratic twists by: -4 |