Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41328be |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
3705757776 = 24 · 39 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444,2095] |
[a1,a2,a3,a4,a6] |
Generators |
[497:11070:1] |
Generators of the group modulo torsion |
j |
829898752/317709 |
j-invariant |
L |
6.2374463214726 |
L(r)(E,1)/r! |
Ω |
1.2764972293597 |
Real period |
R |
2.4431883509054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10332g1 13776r1 |
Quadratic twists by: -4 -3 |