Atkin-Lehner |
3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4845b |
Isogeny class |
Conductor |
4845 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
154013078025 = 310 · 52 · 172 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 4 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1768,-22253] |
[a1,a2,a3,a4,a6] |
Generators |
[6324:53363:64] |
Generators of the group modulo torsion |
j |
611722215487369/154013078025 |
j-invariant |
L |
4.0170670764541 |
L(r)(E,1)/r! |
Ω |
0.74982230464517 |
Real period |
R |
5.3573587389548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
77520cm2 14535m2 24225m2 82365o2 |
Quadratic twists by: -4 -3 5 17 |