Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850bg |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-3033286200 = -1 · 23 · 32 · 52 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 -2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-203,-2959] |
[a1,a2,a3,a4,a6] |
Generators |
[21:40:1] |
Generators of the group modulo torsion |
j |
-37017366745/121331448 |
j-invariant |
L |
5.8953407437871 |
L(r)(E,1)/r! |
Ω |
0.58230802278682 |
Real period |
R |
0.56244962699113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53550v2 17850y2 124950hl2 |
Quadratic twists by: -3 5 -7 |