Atkin-Lehner |
2- 3- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
54672bj |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
2.2173747227212E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38702048,92631509364] |
[a1,a2,a3,a4,a6] |
Generators |
[-4550:417792:1] |
Generators of the group modulo torsion |
j |
1565184783388747048998625/541351250664357888 |
j-invariant |
L |
6.5415653096667 |
L(r)(E,1)/r! |
Ω |
0.1433207069499 |
Real period |
R |
1.1410712116971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6834n1 |
Quadratic twists by: -4 |