Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125736v |
Isogeny class |
Conductor |
125736 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-2.2959605934574E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 0 13+ 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-323184,241031493] |
[a1,a2,a3,a4,a6] |
Generators |
[186:-13689:1] |
Generators of the group modulo torsion |
j |
-48338649741568/297292760271 |
j-invariant |
L |
9.63556206913 |
L(r)(E,1)/r! |
Ω |
0.18450779311029 |
Real period |
R |
1.305576558012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000094355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9672e1 |
Quadratic twists by: 13 |