Atkin-Lehner |
2- 3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25296h |
Isogeny class |
Conductor |
25296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-8464319856 = -1 · 24 · 310 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 6 -6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1062,-13689] |
[a1,a2,a3,a4,a6] |
j |
-8286786611968/529019991 |
j-invariant |
L |
1.6663424745871 |
L(r)(E,1)/r! |
Ω |
0.4165856186469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6324c1 101184z1 75888y1 |
Quadratic twists by: -4 8 -3 |