Atkin-Lehner |
2- 3- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440cq |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-218689536000000 = -1 · 218 · 3 · 56 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12464,-464236] |
[a1,a2,a3,a4,a6] |
j |
52275866567471/53391000000 |
j-invariant |
L |
4.8705119882941 |
L(r)(E,1)/r! |
Ω |
0.30440701497291 |
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 |
14430x1 |
Quadratic twists by: -4 |