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 |
-90279360000 = -1 · 29 · 38 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-216,14580] |
[a1,a2,a3,a4,a6] |
j |
-2186875592/176326875 |
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 |
20640h4 41280dh3 61920ce2 103200cn2 |
Quadratic twists by: -4 8 -3 5 |