Atkin-Lehner |
2- 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
9890i |
Isogeny class |
Conductor |
9890 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
12544 |
Modular degree for the optimal curve |
Δ |
-405094400 = -1 · 214 · 52 · 23 · 43 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 -5 -7 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-123,1131] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:26:1] [-5:42:1] |
Generators of the group modulo torsion |
j |
-204232410369/405094400 |
j-invariant |
L |
5.0979942899835 |
L(r)(E,1)/r! |
Ω |
1.4996765026821 |
Real period |
R |
0.12140699965406 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79120i1 89010v1 49450a1 |
Quadratic twists by: -4 -3 5 |