Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850cd |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
133058349112500000 = 25 · 32 · 58 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-942088,-351594208] |
[a1,a2,a3,a4,a6] |
Generators |
[-574:644:1] |
Generators of the group modulo torsion |
j |
5918043195362419129/8515734343200 |
j-invariant |
L |
9.3514555797748 |
L(r)(E,1)/r! |
Ω |
0.15325484529296 |
Real period |
R |
1.0169831348452 |
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 |
53550bo2 3570a2 124950fa2 |
Quadratic twists by: -3 5 -7 |