Atkin-Lehner |
2+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008d |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-39210336256 = -1 · 214 · 72 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 4 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,751,5551] |
[a1,a2,a3,a4,a6] |
Generators |
[10:119:1] |
Generators of the group modulo torsion |
j |
2855256752/2393209 |
j-invariant |
L |
3.6047826121339 |
L(r)(E,1)/r! |
Ω |
0.74492747353979 |
Real period |
R |
1.2097763695323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008cp2 6188b2 |
Quadratic twists by: -4 8 |