Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672m |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
172871545885616448 = 26 · 316 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 4 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-149565,9772256] |
[a1,a2,a3,a4,a6] |
j |
1643032000/767637 |
j-invariant |
L |
2.2982513479687 |
L(r)(E,1)/r! |
Ω |
0.2872814185605 |
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 |
48672l1 97344eq2 16224n1 3744m1 |
Quadratic twists by: -4 8 -3 13 |