Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048q |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5064908040192 = 211 · 3 · 78 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19104,-1016940] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:42:1] |
Generators of the group modulo torsion |
j |
376521188726594/2473099629 |
j-invariant |
L |
5.1672569987756 |
L(r)(E,1)/r! |
Ω |
0.40624539706408 |
Real period |
R |
3.1798864898566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024x3 |
Quadratic twists by: -4 |