Atkin-Lehner |
3+ 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54825a |
Isogeny class |
Conductor |
54825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2038338675 = -1 · 38 · 52 · 172 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 3 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-215,-2580] |
[a1,a2,a3,a4,a6] |
Generators |
[1438:18559:8] |
Generators of the group modulo torsion |
j |
-44284472545/81533547 |
j-invariant |
L |
7.0917644960744 |
L(r)(E,1)/r! |
Ω |
0.58719568659145 |
Real period |
R |
3.0193360825173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54825j1 |
Quadratic twists by: 5 |