Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9030h |
Isogeny class |
Conductor |
9030 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
32392657552500 = 22 · 316 · 54 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9839,256286] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:718:1] |
Generators of the group modulo torsion |
j |
105320555456854249/32392657552500 |
j-invariant |
L |
3.776001698599 |
L(r)(E,1)/r! |
Ω |
0.60877598968853 |
Real period |
R |
0.38766329513617 |
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 |
72240bq3 27090bq3 45150ci3 63210o3 |
Quadratic twists by: -4 -3 5 -7 |