Atkin-Lehner |
3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6633i |
Isogeny class |
Conductor |
6633 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-10575144459 = -1 · 315 · 11 · 67 |
Discriminant |
Eigenvalues |
0 3- 3 -1 11- 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-246,-5166] |
[a1,a2,a3,a4,a6] |
j |
-2258403328/14506371 |
j-invariant |
L |
2.1491682158447 |
L(r)(E,1)/r! |
Ω |
0.53729205396117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106128bc1 2211f1 72963t1 |
Quadratic twists by: -4 -3 -11 |