Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162o |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
-2.7973535956232E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 5 -2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31861377,-73743225795] |
[a1,a2,a3,a4,a6] |
Generators |
[4587207337881939893649:-455969333003191312112445:360125019948265181] |
Generators of the group modulo torsion |
j |
-121592686950598375/9509057593344 |
j-invariant |
L |
4.1266042064137 |
L(r)(E,1)/r! |
Ω |
0.031630756608117 |
Real period |
R |
32.615440230686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054bk1 36162ba1 |
Quadratic twists by: -3 -7 |