Atkin-Lehner |
2+ 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
3666a |
Isogeny class |
Conductor |
3666 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
32216808 = 23 · 3 · 134 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6019,-182267] |
[a1,a2,a3,a4,a6] |
j |
24121786971872953/32216808 |
j-invariant |
L |
1.0840245171968 |
L(r)(E,1)/r! |
Ω |
0.54201225859841 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29328o4 117312bj4 10998m3 91650df4 |
Quadratic twists by: -4 8 -3 5 |