Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352dk |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-778971561984 = -1 · 214 · 36 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,42464] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:119:1] |
Generators of the group modulo torsion |
j |
-1024/65219 |
j-invariant |
L |
4.4603634216443 |
L(r)(E,1)/r! |
Ω |
0.71505783985526 |
Real period |
R |
3.1188829581643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352cl1 11088o1 4928y1 |
Quadratic twists by: -4 8 -3 |