Atkin-Lehner |
2- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5618h |
Isogeny class |
Conductor |
5618 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-124519380822722 = -1 · 2 · 538 |
Discriminant |
Eigenvalues |
2- 1 0 2 0 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1504278,-710259514] |
[a1,a2,a3,a4,a6] |
Generators |
[13860942944360861171429081906344908367711987954232605307237472:-6180751985729118911127922649889741730730776111794825303912718081:69864104718995033656173129868191809662454764653761101824] |
Generators of the group modulo torsion |
j |
-6046458625/2 |
j-invariant |
L |
6.6747374057747 |
L(r)(E,1)/r! |
Ω |
0.068161246325558 |
Real period |
R |
97.925694813357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44944j2 50562n2 5618a2 |
Quadratic twists by: -4 -3 53 |