Atkin-Lehner |
2+ 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286d |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
-2672411951010816 = -1 · 210 · 39 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 4 -3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101129541,-391414687147] |
[a1,a2,a3,a4,a6] |
Generators |
[143327938:-36216214481:2197] |
Generators of the group modulo torsion |
j |
-1008050316336685251/23552 |
j-invariant |
L |
2.9494926417602 |
L(r)(E,1)/r! |
Ω |
0.023804005930246 |
Real period |
R |
10.32561721755 |
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 |
20286bk1 20286i1 |
Quadratic twists by: -3 -7 |