Atkin-Lehner |
2- 3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288bb |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-8547372224741376 = -1 · 219 · 39 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 0 13- -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50787,-6260382] |
[a1,a2,a3,a4,a6] |
j |
-179692582707/106018432 |
j-invariant |
L |
2.4771389045428 |
L(r)(E,1)/r! |
Ω |
0.15482118164372 |
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 |
6786b1 54288y1 |
Quadratic twists by: -4 -3 |