Atkin-Lehner |
2+ 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
43152j |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
74566656 = 210 · 34 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 -6 0 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3016,62756] |
[a1,a2,a3,a4,a6] |
Generators |
[32:6:1] [8:198:1] |
Generators of the group modulo torsion |
j |
2963887778596/72819 |
j-invariant |
L |
9.0840994074831 |
L(r)(E,1)/r! |
Ω |
1.7965054133982 |
Real period |
R |
0.63206735558206 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21576b1 129456i1 |
Quadratic twists by: -4 -3 |