Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2170c |
Isogeny class |
Conductor |
2170 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
10218313000 = 23 · 53 · 73 · 313 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 3 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-654,4152] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:107:1] |
Generators of the group modulo torsion |
j |
30867540216409/10218313000 |
j-invariant |
L |
2.6284864869372 |
L(r)(E,1)/r! |
Ω |
1.1860194269358 |
Real period |
R |
2.2162254911187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17360q2 69440bx2 19530cg2 10850u2 |
Quadratic twists by: -4 8 -3 5 |