Atkin-Lehner |
2- 11+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16588b |
Isogeny class |
Conductor |
16588 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2808 |
Modular degree for the optimal curve |
Δ |
-11213488 = -1 · 24 · 11 · 133 · 29 |
Discriminant |
Eigenvalues |
2- -2 0 -1 11+ 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,120] |
[a1,a2,a3,a4,a6] |
Generators |
[7:29:1] |
Generators of the group modulo torsion |
j |
702464000/700843 |
j-invariant |
L |
3.1109873556238 |
L(r)(E,1)/r! |
Ω |
1.4956093590525 |
Real period |
R |
2.0800801605005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
66352l1 |
Quadratic twists by: -4 |