Atkin-Lehner |
2- 3+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43152y |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1126080 |
Modular degree for the optimal curve |
Δ |
-1.8221516196035E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 3 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,411436,178360140] |
[a1,a2,a3,a4,a6] |
Generators |
[573:24534:1] |
Generators of the group modulo torsion |
j |
30087739379435719088/71177797640762793 |
j-invariant |
L |
2.2095886380333 |
L(r)(E,1)/r! |
Ω |
0.15193410349308 |
Real period |
R |
4.8476907361716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10788g1 129456bg1 |
Quadratic twists by: -4 -3 |