Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13776u |
Isogeny class |
Conductor |
13776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-56426496 = -1 · 216 · 3 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -2 1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-712,-7564] |
[a1,a2,a3,a4,a6] |
j |
-9759185353/13776 |
j-invariant |
L |
0.92404258805212 |
L(r)(E,1)/r! |
Ω |
0.46202129402606 |
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 |
1722b1 55104ca1 41328cl1 96432bw1 |
Quadratic twists by: -4 8 -3 -7 |