Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15288bd |
Isogeny class |
Conductor |
15288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-7903127105328 = -1 · 24 · 3 · 78 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-359,135162] |
[a1,a2,a3,a4,a6] |
j |
-2725888/4198467 |
j-invariant |
L |
2.3813298260329 |
L(r)(E,1)/r! |
Ω |
0.59533245650823 |
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 |
30576e1 122304bw1 45864l1 2184h1 |
Quadratic twists by: -4 8 -3 -7 |