Atkin-Lehner |
2+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5618a |
Isogeny class |
Conductor |
5618 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-5618 = -1 · 2 · 532 |
Discriminant |
Eigenvalues |
2+ -1 0 2 0 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-535,-4993] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1062:1] |
Generators of the group modulo torsion |
j |
-6046458625/2 |
j-invariant |
L |
2.3870094911352 |
L(r)(E,1)/r! |
Ω |
0.49622136344038 |
Real period |
R |
4.8103722793911 |
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 |
44944a2 50562z2 5618h2 |
Quadratic twists by: -4 -3 53 |