Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5610bj |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
72511718400 = 210 · 34 · 52 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5286,146916] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:522:1] |
Generators of the group modulo torsion |
j |
16334668434139489/72511718400 |
j-invariant |
L |
5.8644975873813 |
L(r)(E,1)/r! |
Ω |
1.0983114478844 |
Real period |
R |
0.2669778958727 |
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 |
44880bh2 16830z2 28050k2 61710ba2 |
Quadratic twists by: -4 -3 5 -11 |