Atkin-Lehner |
2+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
14210h |
Isogeny class |
Conductor |
14210 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
128520 |
Modular degree for the optimal curve |
Δ |
-13106851553600000 = -1 · 29 · 55 · 710 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 4 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-154114,23968020] |
[a1,a2,a3,a4,a6] |
j |
-1433082441609/46400000 |
j-invariant |
L |
1.9830372777941 |
L(r)(E,1)/r! |
Ω |
0.39660745555883 |
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 |
113680bu1 127890ew1 71050bz1 14210a1 |
Quadratic twists by: -4 -3 5 -7 |