Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560dy |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-178505121792000 = -1 · 221 · 3 · 53 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 6 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51585,4537983] |
[a1,a2,a3,a4,a6] |
j |
-57911193276769/680943000 |
j-invariant |
L |
3.4339919488859 |
L(r)(E,1)/r! |
Ω |
0.57233199237027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560q2 14640w2 |
Quadratic twists by: -4 8 |