Atkin-Lehner |
2+ 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17808b |
Isogeny class |
Conductor |
17808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
339353806848 = 211 · 3 · 7 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1832,-10608] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:110:1] |
Generators of the group modulo torsion |
j |
332205796946/165700101 |
j-invariant |
L |
4.7636355038071 |
L(r)(E,1)/r! |
Ω |
0.76841371598358 |
Real period |
R |
3.0996554360756 |
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 |
8904c4 71232db3 53424g3 124656bc3 |
Quadratic twists by: -4 8 -3 -7 |