Atkin-Lehner |
2+ 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640y |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2036588897280 = 210 · 3 · 5 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8160,272580] |
[a1,a2,a3,a4,a6] |
j |
58687749106564/1988856345 |
j-invariant |
L |
1.6449554762007 |
L(r)(E,1)/r! |
Ω |
0.82247773808452 |
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 |
19320f3 115920o4 |
Quadratic twists by: -4 -3 |