Atkin-Lehner |
3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6633d |
Isogeny class |
Conductor |
6633 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1563946363881 = -1 · 313 · 114 · 67 |
Discriminant |
Eigenvalues |
1 3- -3 -3 11- 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-351,-60134] |
[a1,a2,a3,a4,a6] |
Generators |
[194:2576:1] |
Generators of the group modulo torsion |
j |
-6570725617/2145331089 |
j-invariant |
L |
3.4695524572405 |
L(r)(E,1)/r! |
Ω |
0.37887409259309 |
Real period |
R |
0.57234588697628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106128bn1 2211b1 72963n1 |
Quadratic twists by: -4 -3 -11 |