Atkin-Lehner |
2- 3- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
24168q |
Isogeny class |
Conductor |
24168 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
1475601408 = 210 · 33 · 19 · 532 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-312,-1152] |
[a1,a2,a3,a4,a6] |
j |
3290627812/1441017 |
j-invariant |
L |
3.5465830886517 |
L(r)(E,1)/r! |
Ω |
1.1821943628839 |
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 |
48336l1 72504g1 |
Quadratic twists by: -4 -3 |