Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41184z |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
954068544 = 26 · 36 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-441,-3240] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:18:1] |
Generators of the group modulo torsion |
j |
203297472/20449 |
j-invariant |
L |
3.3314875298412 |
L(r)(E,1)/r! |
Ω |
1.0485662928981 |
Real period |
R |
1.5885917525698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41184bf1 82368fd2 4576d1 |
Quadratic twists by: -4 8 -3 |