Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672r |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
2026796406336 = 26 · 38 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3549,-43940] |
[a1,a2,a3,a4,a6] |
j |
21952/9 |
j-invariant |
L |
5.1296215281305 |
L(r)(E,1)/r! |
Ω |
0.64120269099388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48672bs1 97344ch2 16224v1 288b1 |
Quadratic twists by: -4 8 -3 13 |