Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850m |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.1626684199026E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9093700,-6184286000] |
[a1,a2,a3,a4,a6] |
Generators |
[-35880:1627940:27] |
Generators of the group modulo torsion |
j |
42580976430133829141/16192862309901312 |
j-invariant |
L |
3.2863929986999 |
L(r)(E,1)/r! |
Ω |
0.089765021396956 |
Real period |
R |
4.5763830771105 |
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 |
53550ep2 17850cg2 124950ea2 |
Quadratic twists by: -3 5 -7 |