Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286bs |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-31159296 = -1 · 210 · 33 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -4 3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-229319,-42210241] |
[a1,a2,a3,a4,a6] |
j |
-1008050316336685251/23552 |
j-invariant |
L |
2.1816731803706 |
L(r)(E,1)/r! |
Ω |
0.10908365901853 |
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 |
20286i1 20286bk1 |
Quadratic twists by: -3 -7 |