Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10062j |
Isogeny class |
Conductor |
10062 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
2288581776 = 24 · 39 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -6 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-374,1653] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:69:1] |
Generators of the group modulo torsion |
j |
7916293657/3139344 |
j-invariant |
L |
7.5769172343417 |
L(r)(E,1)/r! |
Ω |
1.3248022812015 |
Real period |
R |
1.4298203856257 |
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 |
80496bg1 3354a1 |
Quadratic twists by: -4 -3 |