Atkin-Lehner |
2- 3- 7- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89838bc |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4.1234494758443E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-129575840,-476261349969] |
[a1,a2,a3,a4,a6] |
Generators |
[181049:-76970937:1] |
Generators of the group modulo torsion |
j |
330041292650314763141373625/56563092947109119094612 |
j-invariant |
L |
10.561690457852 |
L(r)(E,1)/r! |
Ω |
0.045270712738094 |
Real period |
R |
7.2906478916412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29946f2 |
Quadratic twists by: -3 |