Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560cj |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.3302793577556E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,530124,93216060] |
[a1,a2,a3,a4,a6] |
Generators |
[1361810:-57782371:1000] |
Generators of the group modulo torsion |
j |
64359894910378156976/51964037412328125 |
j-invariant |
L |
3.6136673366308 |
L(r)(E,1)/r! |
Ω |
0.14435027038519 |
Real period |
R |
8.3446728271628 |
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 |
7140j2 114240ka2 85680eu2 |
Quadratic twists by: -4 8 -3 |