Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350dj |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
12705103125000 = 23 · 37 · 58 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1338480005,18848363786997] |
[a1,a2,a3,a4,a6] |
Generators |
[169054:-66405:8] |
Generators of the group modulo torsion |
j |
23281546263261052473907201/1115400 |
j-invariant |
L |
10.273842961461 |
L(r)(E,1)/r! |
Ω |
0.17671772437968 |
Real period |
R |
4.8447521781326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21450f6 12870k5 |
Quadratic twists by: -3 5 |