Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18096bj |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-3046447351484080128 = -1 · 213 · 35 · 137 · 293 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 1 13- -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,93320,83287124] |
[a1,a2,a3,a4,a6] |
Generators |
[-244:6786:1] |
Generators of the group modulo torsion |
j |
21942358211971079/743761560420918 |
j-invariant |
L |
3.3858712687485 |
L(r)(E,1)/r! |
Ω |
0.19100361730771 |
Real period |
R |
0.084413042774345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2262c1 72384br1 54288bt1 |
Quadratic twists by: -4 8 -3 |