Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504cd |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
21288960 |
Modular degree for the optimal curve |
Δ |
-3.854791147679E+26 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,91131352,-883252412748] |
[a1,a2,a3,a4,a6] |
j |
8666286316805125/39912298463232 |
j-invariant |
L |
2.1577586540246 |
L(r)(E,1)/r! |
Ω |
0.026971983312224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438a1 75504ca1 |
Quadratic twists by: -4 -11 |