Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32110z |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-23844436460 = -1 · 22 · 5 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 1 0 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-295500,61803260] |
[a1,a2,a3,a4,a6] |
Generators |
[196:3282:1] |
Generators of the group modulo torsion |
j |
-591202341974089/4940 |
j-invariant |
L |
11.099256041904 |
L(r)(E,1)/r! |
Ω |
0.83129987903642 |
Real period |
R |
1.668960913174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2470b1 |
Quadratic twists by: 13 |