Atkin-Lehner |
2+ 3- 11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
74646s |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-7890564263868 = -1 · 22 · 39 · 112 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11007,-461831] |
[a1,a2,a3,a4,a6] |
j |
-202313692752625/10823819292 |
j-invariant |
L |
0.92931151047521 |
L(r)(E,1)/r! |
Ω |
0.23232787616725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24882w1 |
Quadratic twists by: -3 |