Atkin-Lehner |
2+ 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
73346c |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32011200 |
Modular degree for the optimal curve |
Δ |
-2.8064135014373E+25 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-933131307,-10974443110122] |
[a1,a2,a3,a4,a6] |
Generators |
[3315924480914016265008939909073616462756778160974298208074982673639177241104724785099470251668316571554044793270255378829426473509925483843700232675180891697676268:557641652352978345529965511262599856430030849650132278712501233941609007958082473861045036411064566114229897459888861567770528834887506661843448531324448711204456414:65046907752301891804952938009668385411000011158282087012022123188131536279412844101074728970218239744287982645610233577790736310427762076345289685764204160077] |
Generators of the group modulo torsion |
j |
-651806173880333801953/203572044333056 |
j-invariant |
L |
6.780679031178 |
L(r)(E,1)/r! |
Ω |
0.013657642239552 |
Real period |
R |
248.23754028134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73346v1 |
Quadratic twists by: 13 |