Atkin-Lehner |
3- 31- 67- |
Signs for the Atkin-Lehner involutions |
Class |
18693c |
Isogeny class |
Conductor |
18693 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27360 |
Modular degree for the optimal curve |
Δ |
1455081813 = 36 · 313 · 67 |
Discriminant |
Eigenvalues |
-2 3- 4 4 4 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1173,-15354] |
[a1,a2,a3,a4,a6] |
j |
244844425216/1995997 |
j-invariant |
L |
2.4485548434955 |
L(r)(E,1)/r! |
Ω |
0.81618494783184 |
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 |
2077b1 |
Quadratic twists by: -3 |