Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286bh |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-17808659398656 = -1 · 214 · 39 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 0 5 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17282,902017] |
[a1,a2,a3,a4,a6] |
Generators |
[121:-817:1] |
Generators of the group modulo torsion |
j |
-12078102267/376832 |
j-invariant |
L |
8.8917795070563 |
L(r)(E,1)/r! |
Ω |
0.68781261061403 |
Real period |
R |
0.15390022850358 |
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 |
20286a1 20286bo1 |
Quadratic twists by: -3 -7 |