Atkin-Lehner |
2+ 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
16080b |
Isogeny class |
Conductor |
16080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4341600000000 = -1 · 211 · 34 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,984,99216] |
[a1,a2,a3,a4,a6] |
j |
51396982702/2119921875 |
j-invariant |
L |
2.3535246103731 |
L(r)(E,1)/r! |
Ω |
0.58838115259327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8040f4 64320cq3 48240x3 80400bc3 |
Quadratic twists by: -4 8 -3 5 |