Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48050x |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
Δ |
50384076800 = 221 · 52 · 312 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 -6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1198,11652] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:-126:1] |
Generators of the group modulo torsion |
j |
7915045705/2097152 |
j-invariant |
L |
4.8751411123724 |
L(r)(E,1)/r! |
Ω |
1.052734097501 |
Real period |
R |
0.22052062085778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48050m2 48050q2 |
Quadratic twists by: 5 -31 |