Atkin-Lehner |
3- 7- 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42441i |
Isogeny class |
Conductor |
42441 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
835366203 = 310 · 7 · 43 · 47 |
Discriminant |
Eigenvalues |
1 3- 0 7- -5 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-661,6329] |
[a1,a2,a3,a4,a6] |
Generators |
[19:17:1] |
Generators of the group modulo torsion |
j |
31870088727625/835366203 |
j-invariant |
L |
7.6768762819946 |
L(r)(E,1)/r! |
Ω |
1.5806995518365 |
Real period |
R |
0.4856632162058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127323i1 |
Quadratic twists by: -3 |