Atkin-Lehner |
2- 11+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8602c |
Isogeny class |
Conductor |
8602 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2292050658304 = 210 · 114 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11+ -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4476,90431] |
[a1,a2,a3,a4,a6] |
Generators |
[17:129:1] |
Generators of the group modulo torsion |
j |
9915234258747537/2292050658304 |
j-invariant |
L |
5.371475571743 |
L(r)(E,1)/r! |
Ω |
0.77136722373668 |
Real period |
R |
1.3927155332637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68816k2 77418k2 94622b2 |
Quadratic twists by: -4 -3 -11 |