Atkin-Lehner |
2- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
46144u |
Isogeny class |
Conductor |
46144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-1012953088 = -1 · 212 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 2 0 7- 6 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,1529] |
[a1,a2,a3,a4,a6] |
j |
8000/247303 |
j-invariant |
L |
4.9306475041049 |
L(r)(E,1)/r! |
Ω |
1.2326618759717 |
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 |
46144l1 23072b1 |
Quadratic twists by: -4 8 |