Atkin-Lehner |
2+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008u |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-77370395648 = -1 · 210 · 7 · 133 · 173 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -3 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,987,-6395] |
[a1,a2,a3,a4,a6] |
Generators |
[9:56:1] [13:92:1] |
Generators of the group modulo torsion |
j |
103737344000/75557027 |
j-invariant |
L |
9.5935290687607 |
L(r)(E,1)/r! |
Ω |
0.61025851831188 |
Real period |
R |
7.8602172529813 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008bm2 6188e2 |
Quadratic twists by: -4 8 |