Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550ba |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-114229921443750000 = -1 · 24 · 312 · 58 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,120708,1935616] |
[a1,a2,a3,a4,a6] |
Generators |
[308:-8416:1] |
Generators of the group modulo torsion |
j |
17075848639751/10028415600 |
j-invariant |
L |
4.8050619550758 |
L(r)(E,1)/r! |
Ω |
0.20191631220142 |
Real period |
R |
0.99155393941756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999421 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850bb1 10710bk1 |
Quadratic twists by: -3 5 |