Atkin-Lehner |
2- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
104044b |
Isogeny class |
Conductor |
104044 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
4681147648 = 28 · 192 · 373 |
Discriminant |
Eigenvalues |
2- 1 0 1 1 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-493,-2801] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:38:1] |
Generators of the group modulo torsion |
j |
1024000/361 |
j-invariant |
L |
9.0185351177037 |
L(r)(E,1)/r! |
Ω |
1.04241893212 |
Real period |
R |
0.72096214685633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104044e1 |
Quadratic twists by: 37 |