Atkin-Lehner |
2- 3- 11+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86526u |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-4659657681888 = -1 · 25 · 313 · 11 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 11+ -3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1040,104915] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:121:1] [-45:265:1] |
Generators of the group modulo torsion |
j |
-170492253625/6391848672 |
j-invariant |
L |
14.947667396028 |
L(r)(E,1)/r! |
Ω |
0.64299130567373 |
Real period |
R |
0.58117688623124 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28842h1 |
Quadratic twists by: -3 |