Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850bp |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
63751051875000 = 23 · 3 · 57 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12963,417417] |
[a1,a2,a3,a4,a6] |
Generators |
[92:29:1] |
Generators of the group modulo torsion |
j |
15417797707369/4080067320 |
j-invariant |
L |
9.1910170882315 |
L(r)(E,1)/r! |
Ω |
0.58053975919508 |
Real period |
R |
2.6386412939155 |
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 |
53550be2 3570c2 124950fn2 |
Quadratic twists by: -3 5 -7 |