Atkin-Lehner |
2+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6032a |
Isogeny class |
Conductor |
6032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
78416 = 24 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14,15] |
[a1,a2,a3,a4,a6] |
j |
18966528/4901 |
j-invariant |
L |
1.6064826714385 |
L(r)(E,1)/r! |
Ω |
3.212965342877 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3016a1 24128q1 54288s1 78416a1 |
Quadratic twists by: -4 8 -3 13 |