Atkin-Lehner |
2- 3- 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33726s |
Isogeny class |
Conductor |
33726 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
29139264 = 26 · 34 · 7 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-182,-924] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:10:1] |
Generators of the group modulo torsion |
j |
666940371553/29139264 |
j-invariant |
L |
8.9702289887223 |
L(r)(E,1)/r! |
Ω |
1.3032886953832 |
Real period |
R |
0.28678184850429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101178t1 |
Quadratic twists by: -3 |