Atkin-Lehner |
2+ 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
24168d |
Isogeny class |
Conductor |
24168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-1691373312 = -1 · 28 · 38 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,228,-1548] |
[a1,a2,a3,a4,a6] |
j |
5097791792/6606927 |
j-invariant |
L |
0.79825419697345 |
L(r)(E,1)/r! |
Ω |
0.79825419697355 |
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 |
48336q1 72504bc1 |
Quadratic twists by: -4 -3 |