Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19890h |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
3431492812800 = 216 · 36 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14235,-644059] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:91:1] |
Generators of the group modulo torsion |
j |
437608510454961/4707123200 |
j-invariant |
L |
2.568864012 |
L(r)(E,1)/r! |
Ω |
0.43736192610434 |
Real period |
R |
1.4683857113954 |
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 |
2210g1 99450cs1 |
Quadratic twists by: -3 5 |