Atkin-Lehner |
2- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080bf |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
79269616025600 = 217 · 52 · 7 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16016,-646720] |
[a1,a2,a3,a4,a6] |
Generators |
[538:12090:1] |
Generators of the group modulo torsion |
j |
110931033861649/19352933600 |
j-invariant |
L |
10.270020249386 |
L(r)(E,1)/r! |
Ω |
0.42944859238666 |
Real period |
R |
2.9893043164204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010p2 |
Quadratic twists by: -4 |