Atkin-Lehner |
3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
94221k |
Isogeny class |
Conductor |
94221 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-359049506249781 = -1 · 36 · 198 · 29 |
Discriminant |
Eigenvalues |
1 3- 1 -4 -1 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4806,-903803] |
[a1,a2,a3,a4,a6] |
Generators |
[2532:126167:1] [2244:5737:27] |
Generators of the group modulo torsion |
j |
357911/10469 |
j-invariant |
L |
12.866876935827 |
L(r)(E,1)/r! |
Ω |
0.25964461075469 |
Real period |
R |
12.388931256624 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10469b1 4959e1 |
Quadratic twists by: -3 -19 |