Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664u |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-647968978944 = -1 · 211 · 38 · 7 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -6 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1941,20410] |
[a1,a2,a3,a4,a6] |
Generators |
[15:230:1] |
Generators of the group modulo torsion |
j |
541680046/434007 |
j-invariant |
L |
7.8782071246653 |
L(r)(E,1)/r! |
Ω |
0.58667473111873 |
Real period |
R |
3.3571443874931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41832x2 27888m2 |
Quadratic twists by: -4 -3 |