Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4176b |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33901369344 = 211 · 39 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-891,5130] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:116:1] |
Generators of the group modulo torsion |
j |
1940598/841 |
j-invariant |
L |
3.6421953565987 |
L(r)(E,1)/r! |
Ω |
1.0493780223038 |
Real period |
R |
0.86770336313187 |
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 |
2088h2 16704by2 4176d2 104400e2 |
Quadratic twists by: -4 8 -3 5 |