Atkin-Lehner |
2+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008bb |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
43684706146844672 = 230 · 72 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-303233,63580289] |
[a1,a2,a3,a4,a6] |
Generators |
[451:4284:1] |
Generators of the group modulo torsion |
j |
11762905557390625/166643929088 |
j-invariant |
L |
10.329894286235 |
L(r)(E,1)/r! |
Ω |
0.36147416670756 |
Real period |
R |
2.3814275040362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008ca1 3094i1 |
Quadratic twists by: -4 8 |