Atkin-Lehner |
2- 3- 11+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86526w |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
2605824 |
Modular degree for the optimal curve |
Δ |
-4.5063610649882E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ -7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-408830,-338183539] |
[a1,a2,a3,a4,a6] |
Generators |
[2257:-102285:1] |
Generators of the group modulo torsion |
j |
-10366292491364265625/61815652468973568 |
j-invariant |
L |
10.021733012106 |
L(r)(E,1)/r! |
Ω |
0.084474638552161 |
Real period |
R |
0.76048716301202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28842f1 |
Quadratic twists by: -3 |