Atkin-Lehner |
2+ 5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
40280f |
Isogeny class |
Conductor |
40280 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-128896000 = -1 · 210 · 53 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 3 -5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160,-900] |
[a1,a2,a3,a4,a6] |
Generators |
[90:840:1] |
Generators of the group modulo torsion |
j |
-445138564/125875 |
j-invariant |
L |
9.7769215881723 |
L(r)(E,1)/r! |
Ω |
0.66113991232675 |
Real period |
R |
2.4646627755795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80560c1 |
Quadratic twists by: -4 |