Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1638h |
Isogeny class |
Conductor |
1638 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1921234093506 = -1 · 2 · 37 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -5 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33070464,73207840986] |
[a1,a2,a3,a4,a6] |
Generators |
[3321:-1602:1] |
Generators of the group modulo torsion |
j |
-5486773802537974663600129/2635437714 |
j-invariant |
L |
2.2655932961979 |
L(r)(E,1)/r! |
Ω |
0.35341951867817 |
Real period |
R |
1.6026232115529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13104bq2 52416cz2 546f2 40950ea2 |
Quadratic twists by: -4 8 -3 5 |