Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
5418o |
Isogeny class |
Conductor |
5418 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-3130454863872 = -1 · 212 · 310 · 7 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8150,-293659] |
[a1,a2,a3,a4,a6] |
j |
-82114348569625/4294176768 |
j-invariant |
L |
3.0057016287214 |
L(r)(E,1)/r! |
Ω |
0.25047513572679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43344bi1 1806c1 37926bu1 |
Quadratic twists by: -4 -3 -7 |