Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
4356f |
Isogeny class |
Conductor |
4356 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-2045685262896 = -1 · 24 · 38 · 117 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2904,-33275] |
[a1,a2,a3,a4,a6] |
j |
131072/99 |
j-invariant |
L |
1.8496302127559 |
L(r)(E,1)/r! |
Ω |
0.46240755318899 |
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 |
17424by1 69696ci1 1452d1 108900cf1 |
Quadratic twists by: -4 8 -3 5 |