Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008cn |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
926208 |
Modular degree for the optimal curve |
Δ |
-7136281198592 = -1 · 215 · 73 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 1 2 7- 1 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1799617,928619743] |
[a1,a2,a3,a4,a6] |
Generators |
[777:136:1] |
Generators of the group modulo torsion |
j |
-19670449288566480776/217782019 |
j-invariant |
L |
9.5982988151878 |
L(r)(E,1)/r! |
Ω |
0.52334023093766 |
Real period |
R |
1.5283713831314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008bq1 49504r1 |
Quadratic twists by: -4 8 |