Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190cy |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
2160 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-7252884113904000000 = -1 · 210 · 39 · 56 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,483695,-4837975] |
[a1,a2,a3,a4,a6] |
Generators |
[2210:107795:1] |
Generators of the group modulo torsion |
j |
7064514799444439/4094064000000 |
j-invariant |
L |
11.256024681536 |
L(r)(E,1)/r! |
Ω |
0.13989709632037 |
Real period |
R |
0.14899873334902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
390d1 |
Quadratic twists by: -11 |