Atkin-Lehner |
3+ 7- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104811g |
Isogeny class |
Conductor |
104811 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-2264860899 = -1 · 33 · 76 · 23 · 31 |
Discriminant |
Eigenvalues |
2 3+ -1 7- 2 -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16,2295] |
[a1,a2,a3,a4,a6] |
Generators |
[-828:801:64] |
Generators of the group modulo torsion |
j |
-4096/19251 |
j-invariant |
L |
9.2822108005688 |
L(r)(E,1)/r! |
Ω |
1.1698423516844 |
Real period |
R |
3.9672913203825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2139d1 |
Quadratic twists by: -7 |