Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
41454r |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
139427742870151722 = 2 · 37 · 714 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-685323,217800211] |
[a1,a2,a3,a4,a6] |
Generators |
[773:11840:1] |
Generators of the group modulo torsion |
j |
415044078605857/1625673882 |
j-invariant |
L |
3.5123995271815 |
L(r)(E,1)/r! |
Ω |
0.32879345990616 |
Real period |
R |
5.3413464005397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13818t3 5922f3 |
Quadratic twists by: -3 -7 |