Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176q |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-5298628608 = -1 · 211 · 37 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,429,-754] |
[a1,a2,a3,a4,a6] |
j |
34606/21 |
j-invariant |
L |
1.5776095812214 |
L(r)(E,1)/r! |
Ω |
0.78880478330309 |
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 |
28392o1 85176cb1 |
Quadratic twists by: -3 13 |