Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6336bg |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
523077892964352 = 228 · 311 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25932,-1171600] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:324:1] |
Generators of the group modulo torsion |
j |
10091699281/2737152 |
j-invariant |
L |
2.6998614428055 |
L(r)(E,1)/r! |
Ω |
0.38386754141616 |
Real period |
R |
1.7583288188715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6336cd1 198e1 2112d1 69696dq1 |
Quadratic twists by: -4 8 -3 -11 |