Atkin-Lehner |
3- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68265g |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
2040372585 = 38 · 5 · 37 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-524790,-146196545] |
[a1,a2,a3,a4,a6] |
Generators |
[46832081912857626:-2091423715179949837:21122996216707] |
Generators of the group modulo torsion |
j |
21925691636751231841/2798865 |
j-invariant |
L |
5.0253237820912 |
L(r)(E,1)/r! |
Ω |
0.17737937820867 |
Real period |
R |
28.330935826795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22755e1 |
Quadratic twists by: -3 |