Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936bu |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-4811047487317868544 = -1 · 217 · 321 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11- 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31298403,67395657314] |
[a1,a2,a3,a4,a6] |
Generators |
[6967:433026:1] |
Generators of the group modulo torsion |
j |
-1135540872025530818401/1611210069216 |
j-invariant |
L |
4.7171468098269 |
L(r)(E,1)/r! |
Ω |
0.2069676238938 |
Real period |
R |
1.4244821004743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5742f1 15312l1 |
Quadratic twists by: -4 -3 |