Atkin-Lehner |
2+ 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544c |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27136 |
Modular degree for the optimal curve |
Δ |
9244928 = 28 · 72 · 11 · 67 |
Discriminant |
Eigenvalues |
2+ 2 4 7+ 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-236,-1312] |
[a1,a2,a3,a4,a6] |
Generators |
[1693080:1757168:91125] |
Generators of the group modulo torsion |
j |
5702413264/36113 |
j-invariant |
L |
12.449169609618 |
L(r)(E,1)/r! |
Ω |
1.2181029544966 |
Real period |
R |
10.220129228617 |
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 |
41272h1 |
Quadratic twists by: -4 |