Atkin-Lehner |
2- 3+ 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650by |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
85218170782500000 = 25 · 34 · 57 · 78 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1568588,-756679219] |
[a1,a2,a3,a4,a6] |
Generators |
[-719:653:1] |
Generators of the group modulo torsion |
j |
27316834291588875769/5453962930080 |
j-invariant |
L |
7.8790487263898 |
L(r)(E,1)/r! |
Ω |
0.13490484099359 |
Real period |
R |
1.4601123035758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330h3 |
Quadratic twists by: 5 |