Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664bg |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1446918932592 = -1 · 24 · 33 · 79 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2811,7663] |
[a1,a2,a3,a4,a6] |
Generators |
[174:2401:1] |
Generators of the group modulo torsion |
j |
5686204859136/3349349381 |
j-invariant |
L |
9.2089535198366 |
L(r)(E,1)/r! |
Ω |
0.51755477680917 |
Real period |
R |
0.98851088176209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20916f1 83664bj1 |
Quadratic twists by: -4 -3 |