Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5808a |
Isogeny class |
Conductor |
5808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
9199872 = 28 · 33 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84,288] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:22:1] |
Generators of the group modulo torsion |
j |
194672/27 |
j-invariant |
L |
3.1737708237325 |
L(r)(E,1)/r! |
Ω |
2.2190949395907 |
Real period |
R |
1.4302095719789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2904l1 23232dh1 17424i1 5808b1 |
Quadratic twists by: -4 8 -3 -11 |