Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848y |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-1.6938038313837E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 11- 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,351384,-621012656] |
[a1,a2,a3,a4,a6] |
Generators |
[39215656:1561875732:24389] |
Generators of the group modulo torsion |
j |
61952/2187 |
j-invariant |
L |
4.2856520453063 |
L(r)(E,1)/r! |
Ω |
0.08714203653059 |
Real period |
R |
12.295019189164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34848cd1 69696ch1 11616z1 34848ce1 |
Quadratic twists by: -4 8 -3 -11 |