Atkin-Lehner |
2+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5576a |
Isogeny class |
Conductor |
5576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
713728 = 210 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 0 0 0 0 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235,-1386] |
[a1,a2,a3,a4,a6] |
Generators |
[1540:5313:64] |
Generators of the group modulo torsion |
j |
1401610500/697 |
j-invariant |
L |
3.8206400388452 |
L(r)(E,1)/r! |
Ω |
1.2193982046989 |
Real period |
R |
6.2664354008765 |
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 |
11152a1 44608a1 50184bb1 94792g1 |
Quadratic twists by: -4 8 -3 17 |