Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416dq |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-217701679104 = -1 · 219 · 33 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -3 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1356,-29552] |
[a1,a2,a3,a4,a6] |
j |
-38958219/30758 |
j-invariant |
L |
3.0438040894775 |
L(r)(E,1)/r! |
Ω |
0.38047551115422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416u1 13104bi1 52416dr2 |
Quadratic twists by: -4 8 -3 |