Atkin-Lehner |
2- 3+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18486q |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3520 |
Modular degree for the optimal curve |
Δ |
55458 = 2 · 33 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 0 5 -6 13- 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20,-27] |
[a1,a2,a3,a4,a6] |
j |
31255875/2054 |
j-invariant |
L |
4.5516656260236 |
L(r)(E,1)/r! |
Ω |
2.2758328130118 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18486c1 |
Quadratic twists by: -3 |