Atkin-Lehner |
3+ 7+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21777a |
Isogeny class |
Conductor |
21777 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
474237729 = 32 · 72 · 172 · 612 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-196,-245] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:13:1] |
Generators of the group modulo torsion |
j |
839362385737/474237729 |
j-invariant |
L |
2.8970837242539 |
L(r)(E,1)/r! |
Ω |
1.3742745341427 |
Real period |
R |
2.1080822297716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65331n2 |
Quadratic twists by: -3 |