Atkin-Lehner |
3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
49725b |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1532160 |
Modular degree for the optimal curve |
Δ |
-4.4349559241089E+20 |
Discriminant |
Eigenvalues |
0 3+ 5+ -4 2 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1624050,-1288876219] |
[a1,a2,a3,a4,a6] |
j |
-1540318675894272/1442042265625 |
j-invariant |
L |
1.2878331598016 |
L(r)(E,1)/r! |
Ω |
0.064391657926431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49725a1 9945d1 |
Quadratic twists by: -3 5 |