Atkin-Lehner |
2- 5- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37960f |
Isogeny class |
Conductor |
37960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1514688 |
Modular degree for the optimal curve |
Δ |
-4.7795464953021E+20 |
Discriminant |
Eigenvalues |
2- 2 5- -2 2 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9498640,11319984012] |
[a1,a2,a3,a4,a6] |
Generators |
[29811:1259830:27] |
Generators of the group modulo torsion |
j |
-46278373838503476229922/233376293715924125 |
j-invariant |
L |
8.3878861451066 |
L(r)(E,1)/r! |
Ω |
0.16694694836283 |
Real period |
R |
8.3738040011738 |
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 |
75920e1 |
Quadratic twists by: -4 |