Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600t |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-197109375000000000 = -1 · 29 · 3 · 516 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-754408,-253361812] |
[a1,a2,a3,a4,a6] |
Generators |
[7901221113077382655366905601277819:-267016987944606740780659458972470106:4703348744377520437048045745717] |
Generators of the group modulo torsion |
j |
-5935443240847112/24638671875 |
j-invariant |
L |
8.8704982571873 |
L(r)(E,1)/r! |
Ω |
0.080976696348264 |
Real period |
R |
54.771919932711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600g2 13920s2 |
Quadratic twists by: -4 5 |