Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400dj |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
-210184962048000000 = -1 · 234 · 33 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-818475,-285859750] |
[a1,a2,a3,a4,a6] |
Generators |
[9417637776806780:-304275665628079075:5719973063104] |
Generators of the group modulo torsion |
j |
-35091039199419/121634816 |
j-invariant |
L |
8.1428456551932 |
L(r)(E,1)/r! |
Ω |
0.079346555630318 |
Real period |
R |
25.65595193812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999808004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13050bc1 104400cy1 4176t1 |
Quadratic twists by: -4 -3 5 |