Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286m |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-2338360457134464 = -1 · 27 · 39 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 2 5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16455,-2184211] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1812:1] |
Generators of the group modulo torsion |
j |
212776173/1009792 |
j-invariant |
L |
3.9423731175688 |
L(r)(E,1)/r! |
Ω |
0.23187017407998 |
Real period |
R |
2.125312760261 |
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 |
20286bm1 2898c1 |
Quadratic twists by: -3 -7 |