Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850b |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2131038315000000 = 26 · 36 · 57 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-217728150,1236482932500] |
[a1,a2,a3,a4,a6] |
j |
73054578035931991395831649/136386452160 |
j-invariant |
L |
0.84856737903928 |
L(r)(E,1)/r! |
Ω |
0.21214184475982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53550dj5 3570v5 124950co5 |
Quadratic twists by: -3 5 -7 |