Atkin-Lehner |
2- 3- 11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24882bi |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-2928937055616 = -1 · 27 · 38 · 11 · 13 · 293 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11- 13+ -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11265,466569] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-117:1] |
Generators of the group modulo torsion |
j |
-158095573317225361/2928937055616 |
j-invariant |
L |
10.206971173044 |
L(r)(E,1)/r! |
Ω |
0.80377007076691 |
Real period |
R |
0.075588508457348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74646d1 |
Quadratic twists by: -3 |