Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18096r |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1306368 |
Modular degree for the optimal curve |
Δ |
-2.7152872908286E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 4 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17985048,30414918384] |
[a1,a2,a3,a4,a6] |
Generators |
[5675512711969100:-206943952312467456:1441748095073] |
Generators of the group modulo torsion |
j |
-157071934309059089673625/6629119362374565888 |
j-invariant |
L |
4.5361639723244 |
L(r)(E,1)/r! |
Ω |
0.11759677242872 |
Real period |
R |
19.286940783489 |
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 |
2262e1 72384di1 54288be1 |
Quadratic twists by: -4 8 -3 |