Atkin-Lehner |
5+ 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775a |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
210816 |
Modular degree for the optimal curve |
Δ |
-101043701171875 = -1 · 515 · 7 · 11 · 43 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 11+ 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,6117,445168] |
[a1,a2,a3,a4,a6] |
Generators |
[16192:960272:1331] |
Generators of the group modulo torsion |
j |
1619750518784/6466796875 |
j-invariant |
L |
7.5108638537674 |
L(r)(E,1)/r! |
Ω |
0.42626313334205 |
Real period |
R |
4.4050630161038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16555f1 |
Quadratic twists by: 5 |