Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504ca |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2.1759291086669E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,753152,663874484] |
[a1,a2,a3,a4,a6] |
Generators |
[-532:10626:1] |
Generators of the group modulo torsion |
j |
8666286316805125/39912298463232 |
j-invariant |
L |
8.8589107261693 |
L(r)(E,1)/r! |
Ω |
0.12713668471703 |
Real period |
R |
4.3550130452171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438r1 75504cd1 |
Quadratic twists by: -4 -11 |