Atkin-Lehner |
2- 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
20916d |
Isogeny class |
Conductor |
20916 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-182973168 = -1 · 24 · 39 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 -3 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,135,-243] |
[a1,a2,a3,a4,a6] |
Generators |
[4:19:1] |
Generators of the group modulo torsion |
j |
864000/581 |
j-invariant |
L |
5.3076067970333 |
L(r)(E,1)/r! |
Ω |
1.021823538182 |
Real period |
R |
2.5971249431562 |
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 |
83664be1 20916a1 |
Quadratic twists by: -4 -3 |