Atkin-Lehner |
2+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39520a |
Isogeny class |
Conductor |
39520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-173483315200 = -1 · 212 · 52 · 13 · 194 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1252,10528] |
[a1,a2,a3,a4,a6] |
j |
52987905216/42354325 |
j-invariant |
L |
1.3091765562355 |
L(r)(E,1)/r! |
Ω |
0.65458827810489 |
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 |
39520g2 79040y1 |
Quadratic twists by: -4 8 |