Atkin-Lehner |
2- 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13776d |
Isogeny class |
Conductor |
13776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-253919232 = -1 · 215 · 33 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 3 -4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-448,-3584] |
[a1,a2,a3,a4,a6] |
j |
-2433138625/61992 |
j-invariant |
L |
1.0359668284664 |
L(r)(E,1)/r! |
Ω |
0.5179834142332 |
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 |
1722q1 55104cr1 41328bh1 96432ct1 |
Quadratic twists by: -4 8 -3 -7 |