Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650ct |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
32248125000 = 23 · 34 · 57 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3397338,-2410500708] |
[a1,a2,a3,a4,a6] |
j |
277536408914951281369/2063880 |
j-invariant |
L |
5.3377238574426 |
L(r)(E,1)/r! |
Ω |
0.11120258036339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200db4 40950bm4 2730b3 95550hj4 |
Quadratic twists by: -4 -3 5 -7 |