Atkin-Lehner |
2- 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664bk |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-6862733951472 = -1 · 24 · 37 · 73 · 833 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,555,125939] |
[a1,a2,a3,a4,a6] |
Generators |
[458:9821:1] |
Generators of the group modulo torsion |
j |
1620896000/588368823 |
j-invariant |
L |
7.1954626488568 |
L(r)(E,1)/r! |
Ω |
0.58063782680112 |
Real period |
R |
6.1961711068607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20916l2 27888t2 |
Quadratic twists by: -4 -3 |