Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672u |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-4541681664 = -1 · 212 · 38 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 2 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,3328] |
[a1,a2,a3,a4,a6] |
j |
-832/9 |
j-invariant |
L |
4.6883016771478 |
L(r)(E,1)/r! |
Ω |
1.1720754194144 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48672v1 97344fx1 16224w1 48672bx1 |
Quadratic twists by: -4 8 -3 13 |