Atkin-Lehner |
5- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54145s |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5389208451722265625 = 58 · 710 · 132 · 172 |
Discriminant |
Eigenvalues |
-1 0 5- 7- -4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-575637,-125486476] |
[a1,a2,a3,a4,a6] |
Generators |
[-488:6491:1] |
Generators of the group modulo torsion |
j |
179300238877764369/45807516015625 |
j-invariant |
L |
2.5096804590587 |
L(r)(E,1)/r! |
Ω |
0.17659152099633 |
Real period |
R |
1.7764729337404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000137 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7735c2 |
Quadratic twists by: -7 |