Atkin-Lehner |
2- 3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
39216bk |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5952 |
Modular degree for the optimal curve |
Δ |
-627456 = -1 · 28 · 3 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 2 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3,39] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
8192/2451 |
j-invariant |
L |
4.3877515965808 |
L(r)(E,1)/r! |
Ω |
2.2377560572895 |
Real period |
R |
0.98039095510126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9804b1 117648cg1 |
Quadratic twists by: -4 -3 |