Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960be |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-509388244767360000 = -1 · 210 · 34 · 54 · 76 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33336,-34429536] |
[a1,a2,a3,a4,a6] |
Generators |
[555:10878:1] |
Generators of the group modulo torsion |
j |
-34008619684/4228250625 |
j-invariant |
L |
8.1223034993636 |
L(r)(E,1)/r! |
Ω |
0.1303494191476 |
Real period |
R |
3.8944858572623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2040c4 |
Quadratic twists by: -7 |