Atkin-Lehner |
2- 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256cl |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
3638544 = 24 · 3 · 73 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -2 13+ 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42,39] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:9:1] |
Generators of the group modulo torsion |
j |
524386048/227409 |
j-invariant |
L |
4.4413447733794 |
L(r)(E,1)/r! |
Ω |
2.2473749032929 |
Real period |
R |
1.9762367052463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564f1 |
Quadratic twists by: -4 |