Atkin-Lehner |
2- 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450bm |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
18169516721250000 = 24 · 38 · 57 · 17 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-196563,-32926383] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:339:1] |
Generators of the group modulo torsion |
j |
53753796117412201/1162849070160 |
j-invariant |
L |
11.267498649209 |
L(r)(E,1)/r! |
Ω |
0.22703650072713 |
Real period |
R |
1.5508930575446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690h3 |
Quadratic twists by: 5 |