Atkin-Lehner |
3- 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54825h |
Isogeny class |
Conductor |
54825 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-424653890625 = -1 · 37 · 56 · 172 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 5 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1462,-22683] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-245:1] |
Generators of the group modulo torsion |
j |
22117051943/27177849 |
j-invariant |
L |
5.4600381773654 |
L(r)(E,1)/r! |
Ω |
0.50542878431203 |
Real period |
R |
0.77162745586121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2193a1 |
Quadratic twists by: 5 |