Atkin-Lehner |
2+ 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5642b |
Isogeny class |
Conductor |
5642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
301259600096 = 25 · 73 · 134 · 312 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ -4 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-58429,5411805] |
[a1,a2,a3,a4,a6] |
Generators |
[6915:69635:27] |
Generators of the group modulo torsion |
j |
22060770998606753113/301259600096 |
j-invariant |
L |
4.2689971383658 |
L(r)(E,1)/r! |
Ω |
0.88503093501715 |
Real period |
R |
4.8235569735007 |
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 |
45136j2 50778z2 39494n2 73346z2 |
Quadratic twists by: -4 -3 -7 13 |