Atkin-Lehner |
2+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008bc |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-1386134870848 = -1 · 26 · 78 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13588,607770] |
[a1,a2,a3,a4,a6] |
Generators |
[61:98:1] |
Generators of the group modulo torsion |
j |
-4335531180616000/21658357357 |
j-invariant |
L |
2.9088151365857 |
L(r)(E,1)/r! |
Ω |
0.85908830437363 |
Real period |
R |
0.8464831618997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008f1 49504g2 |
Quadratic twists by: -4 8 |