Atkin-Lehner |
2- 3+ 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21930bc |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
246960 |
Modular degree for the optimal curve |
Δ |
-38588659147593000 = -1 · 23 · 37 · 53 · 177 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -1 -5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-134335,21121037] |
[a1,a2,a3,a4,a6] |
j |
-268096690657988515441/38588659147593000 |
j-invariant |
L |
3.1697544900872 |
L(r)(E,1)/r! |
Ω |
0.35219494334303 |
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 |
65790v1 109650z1 |
Quadratic twists by: -3 5 |