Atkin-Lehner |
2- 5+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
45050n |
Isogeny class |
Conductor |
45050 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-1066553344000000 = -1 · 218 · 56 · 173 · 53 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 0 -5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42988,-3791219] |
[a1,a2,a3,a4,a6] |
Generators |
[301:3113:1] |
Generators of the group modulo torsion |
j |
-562271457628153/68259414016 |
j-invariant |
L |
10.625023540281 |
L(r)(E,1)/r! |
Ω |
0.1646598331416 |
Real period |
R |
1.1949465236063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1802a2 |
Quadratic twists by: 5 |