Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6336bp |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
150730702848 = 222 · 33 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5580,-159344] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:33:1] |
Generators of the group modulo torsion |
j |
2714704875/21296 |
j-invariant |
L |
3.854641913944 |
L(r)(E,1)/r! |
Ω |
0.55264525025751 |
Real period |
R |
1.1624822952723 |
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 |
6336b1 1584h1 6336bi3 69696ef1 |
Quadratic twists by: -4 8 -3 -11 |