Atkin-Lehner |
2+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10450n |
Isogeny class |
Conductor |
10450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-2.333534584832E+21 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11- 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2006242,-2568159084] |
[a1,a2,a3,a4,a6] |
j |
-457239508039360773/1194769707433984 |
j-invariant |
L |
0.94355482208947 |
L(r)(E,1)/r! |
Ω |
0.058972176380592 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600cg1 94050dw1 10450bd1 114950df1 |
Quadratic twists by: -4 -3 5 -11 |