Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
240d |
Isogeny class |
Conductor |
240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
61440 = 212 · 3 · 5 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1280,-18060] |
[a1,a2,a3,a4,a6] |
j |
56667352321/15 |
j-invariant |
L |
1.5962422221318 |
L(r)(E,1)/r! |
Ω |
0.79812111106589 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15a7 960i3 720h4 1200j3 |
Quadratic twists by: -4 8 -3 5 |