Atkin-Lehner |
2+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
84032b |
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 |
[-5:8:1] |
Generators of the group modulo torsion |
j |
97336/1313 |
j-invariant |
L |
4.8404457859458 |
L(r)(E,1)/r! |
Ω |
1.5029343336963 |
Real period |
R |
0.80516588117136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84032a1 42016c1 |
Quadratic twists by: -4 8 |