Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450bn |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
8.3118747711182E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11858855,-15091142853] |
[a1,a2,a3,a4,a6] |
Generators |
[-8810852141707720611:-11413105153160404080:3832375872278771] |
Generators of the group modulo torsion |
j |
16192145593815022369/729711914062500 |
j-invariant |
L |
7.8125117809411 |
L(r)(E,1)/r! |
Ω |
0.081582721809478 |
Real period |
R |
23.940460699466 |
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 |
6150f1 3690i1 |
Quadratic twists by: -3 5 |