Atkin-Lehner |
2+ 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664n |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
566972856576 = 28 · 38 · 72 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20919,1163990] |
[a1,a2,a3,a4,a6] |
j |
5424740629072/3038049 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
41832k2 27888b2 |
Quadratic twists by: -4 -3 |