Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560dk |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14054400000000 = 216 · 32 · 58 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47681,3987519] |
[a1,a2,a3,a4,a6] |
Generators |
[325:4788:1] |
Generators of the group modulo torsion |
j |
182931693664324/214453125 |
j-invariant |
L |
6.2116798187582 |
L(r)(E,1)/r! |
Ω |
0.70222426676558 |
Real period |
R |
4.4228604112707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560b4 14640f3 |
Quadratic twists by: -4 8 |