Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286bm |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-3207627513216 = -1 · 27 · 33 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -2 5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1828,80287] |
[a1,a2,a3,a4,a6] |
Generators |
[65:653:1] |
Generators of the group modulo torsion |
j |
212776173/1009792 |
j-invariant |
L |
8.5879705399208 |
L(r)(E,1)/r! |
Ω |
0.571965372032 |
Real period |
R |
0.26812220508993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20286m1 2898l1 |
Quadratic twists by: -3 -7 |