Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18088g |
Isogeny class |
Conductor |
18088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4464640 |
Modular degree for the optimal curve |
Δ |
5.9287826755339E+22 |
Discriminant |
Eigenvalues |
2- 2 0 7- 2 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1136706408,-14750586324292] |
[a1,a2,a3,a4,a6] |
Generators |
[-15384380234862846223968407613221333409851324995054404:737202705429494354231046634235378977487058810688697:790685062476845375185818681282781124410312102848] |
Generators of the group modulo torsion |
j |
158623920904338236518038062500/57898268315761033937 |
j-invariant |
L |
7.6033022592995 |
L(r)(E,1)/r! |
Ω |
0.026000846483475 |
Real period |
R |
73.106295444378 |
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 |
36176c1 126616v1 |
Quadratic twists by: -4 -7 |