Atkin-Lehner |
2- 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
84084q |
Isogeny class |
Conductor |
84084 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
356126346576 = 24 · 33 · 78 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11+ 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8689,307544] |
[a1,a2,a3,a4,a6] |
j |
786644992/3861 |
j-invariant |
L |
2.8862061044504 |
L(r)(E,1)/r! |
Ω |
0.96206869716502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
84084h1 |
Quadratic twists by: -7 |