Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560c |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1189524000000 = 28 · 3 · 56 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6196,182320] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:500:1] |
Generators of the group modulo torsion |
j |
102775137127504/4646578125 |
j-invariant |
L |
2.940300500367 |
L(r)(E,1)/r! |
Ω |
0.85619663155063 |
Real period |
R |
1.7170708176239 |
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 |
14280s2 114240ju2 85680bw2 |
Quadratic twists by: -4 8 -3 |