Atkin-Lehner |
2- 11+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
123728k |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6.9776061568092E+19 |
Discriminant |
Eigenvalues |
2- -1 0 1 11+ -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-348688,409749440] |
[a1,a2,a3,a4,a6] |
Generators |
[938:-30118:1] |
Generators of the group modulo torsion |
j |
-1144658701878324625/17035171281272408 |
j-invariant |
L |
4.6410688505929 |
L(r)(E,1)/r! |
Ω |
0.16489872374504 |
Real period |
R |
0.58635345796454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997420086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15466f2 |
Quadratic twists by: -4 |