Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560cp |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3132186624000 = 216 · 33 · 53 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4607960,-3805712400] |
[a1,a2,a3,a4,a6] |
Generators |
[4090:213890:1] |
Generators of the group modulo torsion |
j |
2641739317048851306841/764694000 |
j-invariant |
L |
4.2133521873385 |
L(r)(E,1)/r! |
Ω |
0.10304391998509 |
Real period |
R |
6.8148160964567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570n2 114240ib2 85680dy2 |
Quadratic twists by: -4 8 -3 |