Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664cg |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-996139558524063744 = -1 · 212 · 311 · 74 · 833 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 -2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-189363,57548594] |
[a1,a2,a3,a4,a6] |
Generators |
[535:-10458:1] |
Generators of the group modulo torsion |
j |
-251490515920561/333605122641 |
j-invariant |
L |
4.595234740607 |
L(r)(E,1)/r! |
Ω |
0.25061831677641 |
Real period |
R |
0.38199146180099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5229a1 27888w1 |
Quadratic twists by: -4 -3 |