Atkin-Lehner |
2+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8584b |
Isogeny class |
Conductor |
8584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
-1098752 = -1 · 210 · 29 · 37 |
Discriminant |
Eigenvalues |
2+ 1 4 -4 3 4 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24,32] |
[a1,a2,a3,a4,a6] |
j |
1431644/1073 |
j-invariant |
L |
3.5215877542916 |
L(r)(E,1)/r! |
Ω |
1.7607938771458 |
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 |
17168e1 68672h1 77256l1 |
Quadratic twists by: -4 8 -3 |