Atkin-Lehner |
2+ 3- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
89082n |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7338240 |
Modular degree for the optimal curve |
Δ |
-2.0138750585022E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7773516,-10778028080] |
[a1,a2,a3,a4,a6] |
Generators |
[33676508356006296122056:6031427622677250134537884:1036012861796112647] |
Generators of the group modulo torsion |
j |
-1765900971536311/684577521664 |
j-invariant |
L |
5.3551203119225 |
L(r)(E,1)/r! |
Ω |
0.044355766398017 |
Real period |
R |
30.182774146679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901882 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9898i1 89082v1 |
Quadratic twists by: -3 -7 |