Atkin-Lehner |
2- 3- 11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24882bk |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-4819496722799616 = -1 · 210 · 35 · 116 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,41151,915849] |
[a1,a2,a3,a4,a6] |
Generators |
[0:957:1] |
Generators of the group modulo torsion |
j |
7706625099618394223/4819496722799616 |
j-invariant |
L |
7.4711084484955 |
L(r)(E,1)/r! |
Ω |
0.26843691029137 |
Real period |
R |
0.185545980255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74646f1 |
Quadratic twists by: -3 |