Atkin-Lehner |
3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128673r |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
16128000 |
Modular degree for the optimal curve |
Δ |
-1.2582368261722E+23 |
Discriminant |
Eigenvalues |
-2 3- -1 -2 -3 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-45946353,-121082672030] |
[a1,a2,a3,a4,a6] |
Generators |
[16327:-1865759:1] |
Generators of the group modulo torsion |
j |
-24737814642405376/290166236091 |
j-invariant |
L |
1.7380730263854 |
L(r)(E,1)/r! |
Ω |
0.028973662338421 |
Real period |
R |
1.4997009748923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999990804776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42891b1 4437h1 |
Quadratic twists by: -3 29 |