Atkin-Lehner |
2+ 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664n |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1301142528 = 210 · 37 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-334659,74516402] |
[a1,a2,a3,a4,a6] |
j |
5552694170037508/1743 |
j-invariant |
L |
1.8190143422627 |
L(r)(E,1)/r! |
Ω |
0.90950721182795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41832k4 27888b4 |
Quadratic twists by: -4 -3 |