Atkin-Lehner |
2+ 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
14160f |
Isogeny class |
Conductor |
14160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
-244684800 = -1 · 211 · 34 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -3 1 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-296,2004] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-732:1] [-6:60:1] |
Generators of the group modulo torsion |
j |
-1405190738/119475 |
j-invariant |
L |
6.6595218239785 |
L(r)(E,1)/r! |
Ω |
1.7191105983972 |
Real period |
R |
0.12105681693392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7080a1 56640cl1 42480n1 70800f1 |
Quadratic twists by: -4 8 -3 5 |