Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14210b |
Isogeny class |
Conductor |
14210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-84843458717500 = -1 · 22 · 54 · 79 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2165,-444319] |
[a1,a2,a3,a4,a6] |
j |
-27818127/2102500 |
j-invariant |
L |
1.0700516483829 |
L(r)(E,1)/r! |
Ω |
0.26751291209573 |
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 |
113680y1 127890gd1 71050bp1 14210f1 |
Quadratic twists by: -4 -3 5 -7 |