Atkin-Lehner |
2+ 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3666i |
Isogeny class |
Conductor |
3666 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
48454079232 = 28 · 3 · 134 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3931,93926] |
[a1,a2,a3,a4,a6] |
Generators |
[63:280:1] |
Generators of the group modulo torsion |
j |
6715432988979625/48454079232 |
j-invariant |
L |
3.1345173514458 |
L(r)(E,1)/r! |
Ω |
1.1361201865285 |
Real period |
R |
0.68974158469613 |
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 |
29328l2 117312a2 10998p2 91650cd2 |
Quadratic twists by: -4 8 -3 5 |