Atkin-Lehner |
2- 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
53664l |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
-4615104 = -1 · 26 · 3 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,38,-40] |
[a1,a2,a3,a4,a6] |
j |
92345408/72111 |
j-invariant |
L |
5.4445548433324 |
L(r)(E,1)/r! |
Ω |
1.3611387103709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53664a1 107328j2 |
Quadratic twists by: -4 8 |