Atkin-Lehner |
3- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9999f |
Isogeny class |
Conductor |
9999 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
8909109 = 36 · 112 · 101 |
Discriminant |
Eigenvalues |
0 3- -3 0 11+ -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-234,1370] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:49:1] [6:13:1] |
Generators of the group modulo torsion |
j |
1943764992/12221 |
j-invariant |
L |
4.4968454452447 |
L(r)(E,1)/r! |
Ω |
2.3267903655371 |
Real period |
R |
0.48315971131836 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1111a1 109989o1 |
Quadratic twists by: -3 -11 |