Atkin-Lehner |
2+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6608a |
Isogeny class |
Conductor |
6608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
-845824 = -1 · 211 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 2 3 7+ -2 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16,32] |
[a1,a2,a3,a4,a6] |
Generators |
[4:12:1] |
Generators of the group modulo torsion |
j |
207646/413 |
j-invariant |
L |
6.1223132985798 |
L(r)(E,1)/r! |
Ω |
1.9446731908241 |
Real period |
R |
0.78706197620605 |
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 |
3304b1 26432g1 59472o1 46256u1 |
Quadratic twists by: -4 8 -3 -7 |