Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24816f |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
42882048 = 210 · 34 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11032,-449692] |
[a1,a2,a3,a4,a6] |
Generators |
[302:4884:1] |
Generators of the group modulo torsion |
j |
145019325614692/41877 |
j-invariant |
L |
7.5104905686518 |
L(r)(E,1)/r! |
Ω |
0.46583564650545 |
Real period |
R |
4.0306547089049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12408c3 99264bf4 74448g4 |
Quadratic twists by: -4 8 -3 |