Atkin-Lehner |
2+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640bq |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-489596882944000000 = -1 · 218 · 56 · 132 · 294 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1821825,946464223] |
[a1,a2,a3,a4,a6] |
Generators |
[123:-26912:1] [-979:42340:1] |
Generators of the group modulo torsion |
j |
-2550962067330021409/1867663890625 |
j-invariant |
L |
8.8228804057508 |
L(r)(E,1)/r! |
Ω |
0.29217941457687 |
Real period |
R |
0.62909979050636 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999974191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640dc2 1885b2 |
Quadratic twists by: -4 8 |