Atkin-Lehner |
2+ 3- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24882v |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-731605446 = -1 · 2 · 36 · 113 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 11- 13- -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,117,-1196] |
[a1,a2,a3,a4,a6] |
Generators |
[8:12:1] |
Generators of the group modulo torsion |
j |
179310732119/731605446 |
j-invariant |
L |
4.8613918357772 |
L(r)(E,1)/r! |
Ω |
0.81188343830561 |
Real period |
R |
0.33265529442686 |
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 |
74646bi1 |
Quadratic twists by: -3 |