Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784cs |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3144960 |
Modular degree for the optimal curve |
Δ |
2.4562679709943E+20 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 3 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1960456,-740711308] |
[a1,a2,a3,a4,a6] |
Generators |
[-877:17460:1] |
Generators of the group modulo torsion |
j |
249395415529/73513818 |
j-invariant |
L |
10.279180256555 |
L(r)(E,1)/r! |
Ω |
0.13047923204446 |
Real period |
R |
5.6271572852958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098f1 56784dc1 |
Quadratic twists by: -4 13 |