Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84640f |
Isogeny class |
Conductor |
84640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4451328 |
Modular degree for the optimal curve |
Δ |
-9.788873160125E+21 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 4 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7880160,-9752029400] |
[a1,a2,a3,a4,a6] |
Generators |
[181982190:1322415625:54872] |
Generators of the group modulo torsion |
j |
-1349696820488/244140625 |
j-invariant |
L |
5.9404953346142 |
L(r)(E,1)/r! |
Ω |
0.044615387132298 |
Real period |
R |
11.095752142878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84640q1 84640b1 |
Quadratic twists by: -4 -23 |