Atkin-Lehner |
2- 3+ 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18354q |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
18831204 = 22 · 34 · 7 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-259,-1699] |
[a1,a2,a3,a4,a6] |
Generators |
[23:60:1] |
Generators of the group modulo torsion |
j |
1921886786737/18831204 |
j-invariant |
L |
4.862892521322 |
L(r)(E,1)/r! |
Ω |
1.1907560581141 |
Real period |
R |
2.0419348229158 |
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 |
55062n1 128478ci1 |
Quadratic twists by: -3 -7 |