Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560cd |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-14896000000000000 = -1 · 216 · 512 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,58612,2156688] |
[a1,a2,a3,a4,a6] |
Generators |
[-609:24497:27] |
Generators of the group modulo torsion |
j |
339784375292316/227294921875 |
j-invariant |
L |
3.8328376830965 |
L(r)(E,1)/r! |
Ω |
0.24770831747092 |
Real period |
R |
7.7365946412723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42560m3 10640d4 |
Quadratic twists by: -4 8 |