Atkin-Lehner |
2- 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3666n |
Isogeny class |
Conductor |
3666 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
816 |
Modular degree for the optimal curve |
Δ |
-3563352 = -1 · 23 · 36 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 2 6 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-58,188] |
[a1,a2,a3,a4,a6] |
j |
-21601086625/3563352 |
j-invariant |
L |
4.813707369524 |
L(r)(E,1)/r! |
Ω |
2.406853684762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
29328m1 117312b1 10998i1 91650g1 |
Quadratic twists by: -4 8 -3 5 |