Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560cd |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
558638908047360 = 218 · 36 · 5 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-139346016,-633079261440] |
[a1,a2,a3,a4,a6] |
j |
73054578035931991395831649/136386452160 |
j-invariant |
L |
1.4061313583895 |
L(r)(E,1)/r! |
Ω |
0.043941604949656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570v5 114240jp5 85680fd5 |
Quadratic twists by: -4 8 -3 |