Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5985b |
Isogeny class |
Conductor |
5985 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-42643125 = -1 · 33 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,82,106] |
[a1,a2,a3,a4,a6] |
Generators |
[5:22:1] |
Generators of the group modulo torsion |
j |
2284322013/1579375 |
j-invariant |
L |
2.3518832621675 |
L(r)(E,1)/r! |
Ω |
1.2831172324822 |
Real period |
R |
0.91647247914274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760bq2 5985e2 29925a2 41895g2 |
Quadratic twists by: -4 -3 5 -7 |