Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286bj |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-1460645376528940938 = -1 · 2 · 39 · 78 · 235 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -3 2 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,283039,-4752485] |
[a1,a2,a3,a4,a6] |
Generators |
[20596:689537:64] |
Generators of the group modulo torsion |
j |
22099801941/12872686 |
j-invariant |
L |
6.4461612434694 |
L(r)(E,1)/r! |
Ω |
0.15898485125757 |
Real period |
R |
1.3515252538173 |
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 |
20286c1 20286br1 |
Quadratic twists by: -3 -7 |