Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3690d |
Isogeny class |
Conductor |
3690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4.7150184985437E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-141030,331033000] |
[a1,a2,a3,a4,a6] |
j |
-425532204913949281/64677894355880100 |
j-invariant |
L |
0.65928276677329 |
L(r)(E,1)/r! |
Ω |
0.16482069169332 |
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 |
29520bh5 118080bx5 1230f6 18450bh6 |
Quadratic twists by: -4 8 -3 5 |