Atkin-Lehner |
2+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
55616i |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-39153664 = -1 · 212 · 112 · 79 |
Discriminant |
Eigenvalues |
2+ 0 2 4 11- 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,76,160] |
[a1,a2,a3,a4,a6] |
j |
11852352/9559 |
j-invariant |
L |
2.638294221025 |
L(r)(E,1)/r! |
Ω |
1.3191471111016 |
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 |
55616e1 27808f1 |
Quadratic twists by: -4 8 |