Atkin-Lehner |
2- 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17808l |
Isogeny class |
Conductor |
17808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-854784 = -1 · 28 · 32 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -3 0 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-861,10017] |
[a1,a2,a3,a4,a6] |
Generators |
[9:54:1] [17:2:1] |
Generators of the group modulo torsion |
j |
-276056203264/3339 |
j-invariant |
L |
5.8081138277531 |
L(r)(E,1)/r! |
Ω |
2.5569604473562 |
Real period |
R |
0.56787286578478 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4452d1 71232cw1 53424bc1 124656dk1 |
Quadratic twists by: -4 8 -3 -7 |