Atkin-Lehner |
2+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
20600d |
Isogeny class |
Conductor |
20600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-80468750000 = -1 · 24 · 511 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 -4 -4 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7283,-242062] |
[a1,a2,a3,a4,a6] |
Generators |
[113:625:1] [173:1925:1] |
Generators of the group modulo torsion |
j |
-170912671744/321875 |
j-invariant |
L |
7.8549214441186 |
L(r)(E,1)/r! |
Ω |
0.25836756791363 |
Real period |
R |
3.8002648259752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41200d1 4120d1 |
Quadratic twists by: -4 5 |