Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450bu |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1433735595703125000 = -1 · 23 · 35 · 515 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13800963,-19739701719] |
[a1,a2,a3,a4,a6] |
Generators |
[113762881230:471152327589:26463592] |
Generators of the group modulo torsion |
j |
-18605093748570727251049/91759078125000 |
j-invariant |
L |
7.0187875223172 |
L(r)(E,1)/r! |
Ω |
0.039164454551962 |
Real period |
R |
14.934433962742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64350x2 4290l2 |
Quadratic twists by: -3 5 |