Atkin-Lehner |
2+ 3+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6438b |
Isogeny class |
Conductor |
6438 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-927072 = -1 · 25 · 33 · 29 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 4 3 4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,45] |
[a1,a2,a3,a4,a6] |
j |
-4826809/927072 |
j-invariant |
L |
2.28168898901 |
L(r)(E,1)/r! |
Ω |
2.28168898901 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51504i1 19314o1 |
Quadratic twists by: -4 -3 |