Atkin-Lehner |
2- 3+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17112i |
Isogeny class |
Conductor |
17112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1171282176 = 28 · 32 · 232 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2852,-57660] |
[a1,a2,a3,a4,a6] |
Generators |
[212:2970:1] |
Generators of the group modulo torsion |
j |
10025004555088/4575321 |
j-invariant |
L |
5.3247161089618 |
L(r)(E,1)/r! |
Ω |
0.6532980791764 |
Real period |
R |
4.0752577412094 |
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 |
34224k2 51336c2 |
Quadratic twists by: -4 -3 |