Atkin-Lehner |
2- 7+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
109858k |
Isogeny class |
Conductor |
109858 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30960 |
Modular degree for the optimal curve |
Δ |
5383042 = 2 · 74 · 19 · 59 |
Discriminant |
Eigenvalues |
2- -1 -4 7+ 0 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,-99] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:27:8] |
Generators of the group modulo torsion |
j |
5764801/2242 |
j-invariant |
L |
6.0545826775336 |
L(r)(E,1)/r! |
Ω |
1.8556158206766 |
Real period |
R |
3.2628427947707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999457874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109858r1 |
Quadratic twists by: -7 |