Atkin-Lehner |
2+ 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544c |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3893435392 = -1 · 210 · 7 · 112 · 672 |
Discriminant |
Eigenvalues |
2+ 2 4 7+ 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,-2992] |
[a1,a2,a3,a4,a6] |
Generators |
[6580:45936:125] |
Generators of the group modulo torsion |
j |
-96550276/3802183 |
j-invariant |
L |
12.449169609618 |
L(r)(E,1)/r! |
Ω |
0.60905147724828 |
Real period |
R |
5.1100646143085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41272h2 |
Quadratic twists by: -4 |