Atkin-Lehner |
2+ 3- 11+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
74646k |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-69806333158848 = -1 · 26 · 37 · 112 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10287,-20579] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-1321:1] |
Generators of the group modulo torsion |
j |
165134819313647/95756286912 |
j-invariant |
L |
2.6125825152701 |
L(r)(E,1)/r! |
Ω |
0.36597502116514 |
Real period |
R |
0.59489089935332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005698 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24882z1 |
Quadratic twists by: -3 |