Atkin-Lehner |
2+ 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3666g |
Isogeny class |
Conductor |
3666 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
571896 = 23 · 32 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2005,34376] |
[a1,a2,a3,a4,a6] |
j |
890749187850313/571896 |
j-invariant |
L |
2.4036070297781 |
L(r)(E,1)/r! |
Ω |
2.4036070297781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29328i2 117312n2 10998n2 91650cq2 |
Quadratic twists by: -4 8 -3 5 |