Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784by |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5.2104210337278E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 5 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9935837240,381205001294064] |
[a1,a2,a3,a4,a6] |
Generators |
[72232556:1796914808:1331] |
Generators of the group modulo torsion |
j |
-5486773802537974663600129/2635437714 |
j-invariant |
L |
6.5027701753911 |
L(r)(E,1)/r! |
Ω |
0.084888622566926 |
Real period |
R |
9.5754442390221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098i2 4368n2 |
Quadratic twists by: -4 13 |