Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416gm |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
785129592619008 = 215 · 310 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5257164,-4639544912] |
[a1,a2,a3,a4,a6] |
Generators |
[-4928921880:31266508:3723875] |
Generators of the group modulo torsion |
j |
672668087746709384/32867289 |
j-invariant |
L |
7.8988833522987 |
L(r)(E,1)/r! |
Ω |
0.099703791686489 |
Real period |
R |
9.9029375145152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416fh4 26208q4 17472dd3 |
Quadratic twists by: -4 8 -3 |