Atkin-Lehner |
2+ 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
8040a |
Isogeny class |
Conductor |
8040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1857127311360 = 211 · 32 · 5 · 674 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3416,-38964] |
[a1,a2,a3,a4,a6] |
j |
2153150936498/906800445 |
j-invariant |
L |
1.2967737964014 |
L(r)(E,1)/r! |
Ω |
0.64838689820069 |
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 |
16080g4 64320bg3 24120x3 40200bc3 |
Quadratic twists by: -4 8 -3 5 |