Atkin-Lehner |
3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6633f |
Isogeny class |
Conductor |
6633 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
173771818209 = 311 · 114 · 67 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3416,75026] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:277:1] |
Generators of the group modulo torsion |
j |
6045477024313/238370121 |
j-invariant |
L |
1.6844285910005 |
L(r)(E,1)/r! |
Ω |
1.0073812532833 |
Real period |
R |
1.6720864970542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106128bk1 2211e1 72963j1 |
Quadratic twists by: -4 -3 -11 |