Atkin-Lehner |
2- 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
5538m |
Isogeny class |
Conductor |
5538 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-442331136 = -1 · 212 · 32 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 4 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,186,-189] |
[a1,a2,a3,a4,a6] |
Generators |
[7:35:1] |
Generators of the group modulo torsion |
j |
711404493983/442331136 |
j-invariant |
L |
4.7360108474789 |
L(r)(E,1)/r! |
Ω |
0.96391510546776 |
Real period |
R |
0.40944225107015 |
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 |
44304l1 16614g1 71994f1 |
Quadratic twists by: -4 -3 13 |