Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600cy |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-559009797120000000 = -1 · 216 · 310 · 57 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,83592,-34720812] |
[a1,a2,a3,a4,a6] |
Generators |
[468:10350:1] |
Generators of the group modulo torsion |
j |
1009328859791/8734528080 |
j-invariant |
L |
7.2432886729994 |
L(r)(E,1)/r! |
Ω |
0.14437117641226 |
Real period |
R |
2.5085646778699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450e2 10320r2 |
Quadratic twists by: -4 5 |