Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bk |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2169409912320 = 29 · 3 · 5 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8640,303780] |
[a1,a2,a3,a4,a6] |
j |
1184287112/36015 |
j-invariant |
L |
1.6387917613597 |
L(r)(E,1)/r! |
Ω |
0.81939588067985 |
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 |
23520y3 47040cq3 70560bc3 117600dc3 |
Quadratic twists by: -4 8 -3 5 |