Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286h |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-17030563578 = -1 · 2 · 33 · 72 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 3 -2 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,642,-666] |
[a1,a2,a3,a4,a6] |
j |
22099801941/12872686 |
j-invariant |
L |
1.4571202304782 |
L(r)(E,1)/r! |
Ω |
0.72856011523909 |
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 |
20286br1 20286c1 |
Quadratic twists by: -3 -7 |