Atkin-Lehner |
2- 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
39840k |
Isogeny class |
Conductor |
39840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-793612800 = -1 · 29 · 32 · 52 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,184,1020] |
[a1,a2,a3,a4,a6] |
j |
1338273208/1550025 |
j-invariant |
L |
2.1234880698522 |
L(r)(E,1)/r! |
Ω |
1.0617440349755 |
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 |
39840a2 79680g2 119520k2 |
Quadratic twists by: -4 8 -3 |