Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286bi |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-36472134448447488 = -1 · 225 · 39 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 1 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,44899,-8438363] |
[a1,a2,a3,a4,a6] |
Generators |
[559:13544:1] |
Generators of the group modulo torsion |
j |
211816278261/771751936 |
j-invariant |
L |
6.9796071563999 |
L(r)(E,1)/r! |
Ω |
0.18610440305542 |
Real period |
R |
0.75007437135397 |
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 |
20286b1 20286bq1 |
Quadratic twists by: -3 -7 |