Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39520f |
Isogeny class |
Conductor |
39520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1055797350400 = -1 · 212 · 52 · 134 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,799,-48401] |
[a1,a2,a3,a4,a6] |
Generators |
[42:247:1] |
Generators of the group modulo torsion |
j |
13754995136/257763025 |
j-invariant |
L |
2.892285823379 |
L(r)(E,1)/r! |
Ω |
0.42548294797102 |
Real period |
R |
0.84970673829873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39520b2 79040z1 |
Quadratic twists by: -4 8 |