Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5808k |
Isogeny class |
Conductor |
5808 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
331195392 = 210 · 35 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 11+ -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-920,10404] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:132:1] [-14:144:1] |
Generators of the group modulo torsion |
j |
63253004/243 |
j-invariant |
L |
4.5661739477161 |
L(r)(E,1)/r! |
Ω |
1.7202286643068 |
Real period |
R |
0.26543994077419 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2904i1 23232cs1 17424n1 5808j1 |
Quadratic twists by: -4 8 -3 -11 |