Atkin-Lehner |
2+ 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048g |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3078147072 = 210 · 3 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3088,-64976] |
[a1,a2,a3,a4,a6] |
Generators |
[86:546:1] |
Generators of the group modulo torsion |
j |
3181238738500/3006003 |
j-invariant |
L |
4.6624415901509 |
L(r)(E,1)/r! |
Ω |
0.64046167892282 |
Real period |
R |
1.8199533803506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024bb2 |
Quadratic twists by: -4 |