Atkin-Lehner |
2+ 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18096o |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
1324030032 = 24 · 32 · 13 · 294 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-319,1220] |
[a1,a2,a3,a4,a6] |
j |
225079785472/82751877 |
j-invariant |
L |
2.7907495011341 |
L(r)(E,1)/r! |
Ω |
1.3953747505671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9048e1 72384bq1 54288l1 |
Quadratic twists by: -4 8 -3 |