Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592by |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
9602924544 = 216 · 37 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 2 4 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2316,42640] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:288:1] |
Generators of the group modulo torsion |
j |
28756228/201 |
j-invariant |
L |
5.1480474237872 |
L(r)(E,1)/r! |
Ω |
1.3002185259648 |
Real period |
R |
0.98984273046826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38592bf1 9648d1 12864bi1 |
Quadratic twists by: -4 8 -3 |