Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286l |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155904 |
Modular degree for the optimal curve |
Δ |
-83364878739308544 = -1 · 229 · 39 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 0 -3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,93945,-8398531] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1714:1] |
Generators of the group modulo torsion |
j |
13581780628779/12348030976 |
j-invariant |
L |
3.1676216240659 |
L(r)(E,1)/r! |
Ω |
0.1873187904825 |
Real period |
R |
4.2275812478645 |
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 |
20286bl1 20286k1 |
Quadratic twists by: -3 -7 |