Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008cg |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-50528439026630656 = -1 · 214 · 75 · 133 · 174 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 0 13- 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105365,17001907] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:3757:1] |
Generators of the group modulo torsion |
j |
-7895815816413184/3084011171059 |
j-invariant |
L |
3.5854498795536 |
L(r)(E,1)/r! |
Ω |
0.33451164127754 |
Real period |
R |
1.7864101166391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008bh1 24752r1 |
Quadratic twists by: -4 8 |