Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6336bb |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
2430274092320448 = 26 · 311 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46839,3098068] |
[a1,a2,a3,a4,a6] |
Generators |
[284:3564:1] |
Generators of the group modulo torsion |
j |
243578556889408/52089208083 |
j-invariant |
L |
4.1718125159008 |
L(r)(E,1)/r! |
Ω |
0.43327891938326 |
Real period |
R |
1.2035585881489 |
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 |
6336n1 3168i2 2112n1 69696ck1 |
Quadratic twists by: -4 8 -3 -11 |