Atkin-Lehner |
89+ |
Signs for the Atkin-Lehner involutions |
Class |
7921a |
Isogeny class |
Conductor |
7921 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19800 |
Modular degree for the optimal curve |
Δ |
44231334895529 = 897 |
Discriminant |
Eigenvalues |
1 -2 -2 -2 -4 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12047,394725] |
[a1,a2,a3,a4,a6] |
Generators |
[-27181:330259:343] |
Generators of the group modulo torsion |
j |
389017/89 |
j-invariant |
L |
2.0248121297009 |
L(r)(E,1)/r! |
Ω |
0.60305604148142 |
Real period |
R |
3.3575853493266 |
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 |
126736h1 71289e1 89b2 |
Quadratic twists by: -4 -3 89 |