Atkin-Lehner |
2+ 3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
29394d |
Isogeny class |
Conductor |
29394 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
16527205005732 = 22 · 314 · 233 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 0 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-162459,25243569] |
[a1,a2,a3,a4,a6] |
Generators |
[237:-15:1] |
Generators of the group modulo torsion |
j |
650472610581916849/22671063108 |
j-invariant |
L |
2.7109838817495 |
L(r)(E,1)/r! |
Ω |
0.64991684594091 |
Real period |
R |
0.69521301037229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9798j1 |
Quadratic twists by: -3 |