Atkin-Lehner |
2- 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
48880r |
Isogeny class |
Conductor |
48880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-3910400 = -1 · 28 · 52 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- 2 5 13- 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,-97] |
[a1,a2,a3,a4,a6] |
j |
-65536/15275 |
j-invariant |
L |
4.4273603036944 |
L(r)(E,1)/r! |
Ω |
1.1068400758423 |
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 |
12220g1 |
Quadratic twists by: -4 |