Atkin-Lehner |
3+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
5673c |
Isogeny class |
Conductor |
5673 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1088 |
Modular degree for the optimal curve |
Δ |
-4748301 = -1 · 34 · 312 · 61 |
Discriminant |
Eigenvalues |
1 3+ -3 1 -3 -5 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,36,81] |
[a1,a2,a3,a4,a6] |
Generators |
[0:9:1] [8:27:1] |
Generators of the group modulo torsion |
j |
4939055927/4748301 |
j-invariant |
L |
4.6696753538547 |
L(r)(E,1)/r! |
Ω |
1.6012698421943 |
Real period |
R |
0.72905815603438 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90768m1 17019f1 |
Quadratic twists by: -4 -3 |