Atkin-Lehner |
2+ 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
8040a |
Isogeny class |
Conductor |
8040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9308390400 = 210 · 34 · 52 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1616,25116] |
[a1,a2,a3,a4,a6] |
j |
456054288196/9090225 |
j-invariant |
L |
1.2967737964014 |
L(r)(E,1)/r! |
Ω |
1.2967737964014 |
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 |
16080g2 64320bg2 24120x2 40200bc2 |
Quadratic twists by: -4 8 -3 5 |