Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
20640c |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
78769175040 = 29 · 32 · 5 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1096,-3224] |
[a1,a2,a3,a4,a6] |
j |
284630612552/153846045 |
j-invariant |
L |
1.7680739090449 |
L(r)(E,1)/r! |
Ω |
0.88403695452244 |
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 |
20640h3 41280dh4 61920ce3 103200cn3 |
Quadratic twists by: -4 8 -3 5 |