Atkin-Lehner |
2- 3- 29- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76212n |
Isogeny class |
Conductor |
76212 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
160128 |
Modular degree for the optimal curve |
Δ |
-4547874583152 = -1 · 24 · 37 · 293 · 732 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43689,-3516343] |
[a1,a2,a3,a4,a6] |
Generators |
[736:19053:1] |
Generators of the group modulo torsion |
j |
-790664998796032/389906943 |
j-invariant |
L |
7.5151777757626 |
L(r)(E,1)/r! |
Ω |
0.16510631592284 |
Real period |
R |
1.2643667627965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25404b1 |
Quadratic twists by: -3 |