Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18876l |
Isogeny class |
Conductor |
18876 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-2.2489182905648E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11- 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61740653,186844830159] |
[a1,a2,a3,a4,a6] |
Generators |
[-9035:84942:1] |
Generators of the group modulo torsion |
j |
-474303061636096000/409819132827 |
j-invariant |
L |
5.9944977481626 |
L(r)(E,1)/r! |
Ω |
0.11967703861019 |
Real period |
R |
0.83481590924163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
75504br1 56628u1 18876g1 |
Quadratic twists by: -4 -3 -11 |