Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42834o |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6842880 |
Modular degree for the optimal curve |
Δ |
-247565698849345536 = -1 · 212 · 34 · 118 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 11- -1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-255562288,1572488152574] |
[a1,a2,a3,a4,a6] |
Generators |
[4729:682979:1] |
Generators of the group modulo torsion |
j |
-8611375583510451760921/1154912256 |
j-invariant |
L |
5.1322956485421 |
L(r)(E,1)/r! |
Ω |
0.17812500028514 |
Real period |
R |
0.60026849594382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128502by1 42834be1 |
Quadratic twists by: -3 -11 |