Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39520f |
Isogeny class |
Conductor |
39520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24064 |
Modular degree for the optimal curve |
Δ |
7047759680 = 26 · 5 · 132 · 194 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1006,-11940] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:26:1] |
Generators of the group modulo torsion |
j |
1761040374976/110121245 |
j-invariant |
L |
2.892285823379 |
L(r)(E,1)/r! |
Ω |
0.85096589594205 |
Real period |
R |
1.6994134765975 |
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 |
39520b1 79040z2 |
Quadratic twists by: -4 8 |