Atkin-Lehner |
2+ 5- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
57850k |
Isogeny class |
Conductor |
57850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-18801250 = -1 · 2 · 54 · 132 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5- 1 3 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-225] |
[a1,a2,a3,a4,a6] |
Generators |
[9:15:1] |
Generators of the group modulo torsion |
j |
-2941225/30082 |
j-invariant |
L |
7.4068569165616 |
L(r)(E,1)/r! |
Ω |
0.92304668040128 |
Real period |
R |
1.3373929823583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57850p1 |
Quadratic twists by: 5 |