Atkin-Lehner |
3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9999m |
Isogeny class |
Conductor |
9999 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
80181981 = 38 · 112 · 101 |
Discriminant |
Eigenvalues |
2 3- 3 -2 11- -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-471,-3911] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:5:8] |
Generators of the group modulo torsion |
j |
15851081728/109989 |
j-invariant |
L |
9.5195620083769 |
L(r)(E,1)/r! |
Ω |
1.0252409368507 |
Real period |
R |
2.3212987470094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3333b1 109989t1 |
Quadratic twists by: -3 -11 |