Atkin-Lehner |
3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
18675q |
Isogeny class |
Conductor |
18675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-37816875 = -1 · 36 · 54 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 -3 -6 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,70,172] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] [4:20:1] |
Generators of the group modulo torsion |
j |
84375/83 |
j-invariant |
L |
4.8319220868064 |
L(r)(E,1)/r! |
Ω |
1.3498193047526 |
Real period |
R |
0.29830672333899 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2075d1 18675e1 |
Quadratic twists by: -3 5 |