Atkin-Lehner |
2+ 3- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6834i |
Isogeny class |
Conductor |
6834 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
75601597056417792 = 224 · 310 · 17 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-112391,-5952310] |
[a1,a2,a3,a4,a6] |
j |
157004739818288043625/75601597056417792 |
j-invariant |
L |
2.735588250575 |
L(r)(E,1)/r! |
Ω |
0.2735588250575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54672r1 20502bb1 116178c1 |
Quadratic twists by: -4 -3 17 |