Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5808b |
Isogeny class |
Conductor |
5808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
16298134440192 = 28 · 33 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11+ -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10204,-342560] |
[a1,a2,a3,a4,a6] |
Generators |
[360:6520:1] |
Generators of the group modulo torsion |
j |
194672/27 |
j-invariant |
L |
2.5593574139697 |
L(r)(E,1)/r! |
Ω |
0.47938513647058 |
Real period |
R |
5.338833474923 |
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 |
2904e1 23232di1 17424j1 5808a1 |
Quadratic twists by: -4 8 -3 -11 |