Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63536be |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3283200 |
Modular degree for the optimal curve |
Δ |
-8.1883743243488E+19 |
Discriminant |
Eigenvalues |
2- -1 -4 1 11- 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8548600,9633040496] |
[a1,a2,a3,a4,a6] |
Generators |
[602:68590:1] |
Generators of the group modulo torsion |
j |
-52271672419/61952 |
j-invariant |
L |
3.7725280845226 |
L(r)(E,1)/r! |
Ω |
0.19175024108251 |
Real period |
R |
2.4592720607975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942b1 63536bd1 |
Quadratic twists by: -4 -19 |