Atkin-Lehner |
41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
75809d |
Isogeny class |
Conductor |
75809 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
736848 |
Modular degree for the optimal curve |
Δ |
19647864666647281 = 412 · 438 |
Discriminant |
Eigenvalues |
-1 -1 3 -3 4 -3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-627774,191068618] |
[a1,a2,a3,a4,a6] |
Generators |
[27092:62231:64] |
Generators of the group modulo torsion |
j |
2340917377/1681 |
j-invariant |
L |
2.8350385979104 |
L(r)(E,1)/r! |
Ω |
0.38187851010122 |
Real period |
R |
1.2373213478781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75809f1 |
Quadratic twists by: -43 |