Atkin-Lehner |
7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42959b |
Isogeny class |
Conductor |
42959 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
684000 |
Modular degree for the optimal curve |
Δ |
-2.6645223826977E+19 |
Discriminant |
Eigenvalues |
-1 1 -1 7+ -4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,655749,-141028546] |
[a1,a2,a3,a4,a6] |
Generators |
[24665907:1313672933:9261] |
Generators of the group modulo torsion |
j |
96639388469/82572791 |
j-invariant |
L |
2.2632963962255 |
L(r)(E,1)/r! |
Ω |
0.11651250205964 |
Real period |
R |
9.712676134389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42959a1 |
Quadratic twists by: -19 |