Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560cd |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3156522461193830400 = 224 · 312 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8709216,-9889470720] |
[a1,a2,a3,a4,a6] |
j |
17836145204788591940449/770635366502400 |
j-invariant |
L |
1.4061313583895 |
L(r)(E,1)/r! |
Ω |
0.087883209899312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3570v2 114240jp2 85680fd2 |
Quadratic twists by: -4 8 -3 |