Atkin-Lehner |
2- 3- 7+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42126s |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
9138856196639232 = 29 · 32 · 711 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53568,-1276416] |
[a1,a2,a3,a4,a6] |
j |
16999670935259034625/9138856196639232 |
j-invariant |
L |
6.0125178124937 |
L(r)(E,1)/r! |
Ω |
0.33402876735939 |
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 |
126378k1 |
Quadratic twists by: -3 |