Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82764m |
Isogeny class |
Conductor |
82764 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
171360 |
Modular degree for the optimal curve |
Δ |
-6281700201216 = -1 · 28 · 36 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11- 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23232,-1368268] |
[a1,a2,a3,a4,a6] |
Generators |
[40818353422175:1879985677672089:19141296875] |
Generators of the group modulo torsion |
j |
-4194304/19 |
j-invariant |
L |
8.656057387141 |
L(r)(E,1)/r! |
Ω |
0.19329926659978 |
Real period |
R |
22.390300644707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9196g1 684a1 |
Quadratic twists by: -3 -11 |