Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190bf |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
211893399900 = 22 · 39 · 52 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1265492,-547628741] |
[a1,a2,a3,a4,a6] |
Generators |
[1477:27611:1] |
Generators of the group modulo torsion |
j |
11387025941627437947/10765300 |
j-invariant |
L |
6.6444509259149 |
L(r)(E,1)/r! |
Ω |
0.14234254631615 |
Real period |
R |
3.8899419615302 |
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 |
65520cg4 8190b2 40950d4 57330dc4 |
Quadratic twists by: -4 -3 5 -7 |