Atkin-Lehner |
2+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
84032a |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25728 |
Modular degree for the optimal curve |
Δ |
-43024384 = -1 · 215 · 13 · 101 |
Discriminant |
Eigenvalues |
2+ 2 3 4 -4 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31,-319] |
[a1,a2,a3,a4,a6] |
Generators |
[255:728:27] |
Generators of the group modulo torsion |
j |
97336/1313 |
j-invariant |
L |
13.076267611496 |
L(r)(E,1)/r! |
Ω |
0.9946799146159 |
Real period |
R |
3.2865516383005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84032b1 42016f1 |
Quadratic twists by: -4 8 |