Atkin-Lehner |
3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
90675bb |
Isogeny class |
Conductor |
90675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
139434064453125 = 311 · 59 · 13 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5+ 3 2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15825,514156] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:1012:1] |
Generators of the group modulo torsion |
j |
38477541376/12241125 |
j-invariant |
L |
4.068047289118 |
L(r)(E,1)/r! |
Ω |
0.537869165661 |
Real period |
R |
0.94540818530761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999862196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30225i1 18135j1 |
Quadratic twists by: -3 5 |