Atkin-Lehner |
2- 3- 11+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
86526s |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-158564608484832 = -1 · 25 · 311 · 112 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-88610,10192641] |
[a1,a2,a3,a4,a6] |
Generators |
[-331:1947:1] [317:3567:1] |
Generators of the group modulo torsion |
j |
-105545518710801625/217509751008 |
j-invariant |
L |
15.228052424546 |
L(r)(E,1)/r! |
Ω |
0.57658868539833 |
Real period |
R |
0.22008832307364 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28842b1 |
Quadratic twists by: -3 |