Atkin-Lehner |
2+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14210a |
Isogeny class |
Conductor |
14210 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18360 |
Modular degree for the optimal curve |
Δ |
-111406400000 = -1 · 29 · 55 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 4 -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3145,-68979] |
[a1,a2,a3,a4,a6] |
j |
-1433082441609/46400000 |
j-invariant |
L |
0.95444798853322 |
L(r)(E,1)/r! |
Ω |
0.31814932951107 |
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 |
113680v1 127890fl1 71050bl1 14210h1 |
Quadratic twists by: -4 -3 5 -7 |