Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040bs |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.8748098527109E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10507680,-13158432000] |
[a1,a2,a3,a4,a6] |
Generators |
[326123094:8972955606:79507] |
Generators of the group modulo torsion |
j |
-31324512477868037557921/143427974919699600 |
j-invariant |
L |
4.546520808874 |
L(r)(E,1)/r! |
Ω |
0.041915425385479 |
Real period |
R |
13.558614659906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630x2 |
Quadratic twists by: -4 |