Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17100w |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-498636000000 = -1 · 28 · 38 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 5 6 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,600,-33500] |
[a1,a2,a3,a4,a6] |
j |
8192/171 |
j-invariant |
L |
2.7119174123227 |
L(r)(E,1)/r! |
Ω |
0.45198623538712 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400dz1 5700m1 684c1 |
Quadratic twists by: -4 -3 5 |