Atkin-Lehner |
2- 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672bi |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
23592960 |
Modular degree for the optimal curve |
Δ |
-1.0237536858591E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1853238459,-30707546949398] |
[a1,a2,a3,a4,a6] |
Generators |
[433329446323362123342568553735049903002041218883429917457297389583:120781963041522136300066579615567059434936509820635290487470891508224:4357954886896991292494633252187015451867760620473981193371563] |
Generators of the group modulo torsion |
j |
-235738300667365635295923577/34285303801329408 |
j-invariant |
L |
9.2908787910353 |
L(r)(E,1)/r! |
Ω |
0.011505002812283 |
Real period |
R |
100.94389960857 |
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 |
12834t1 34224bk1 |
Quadratic twists by: -4 -3 |