Atkin-Lehner |
2+ 3+ 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20670a |
Isogeny class |
Conductor |
20670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1659667361339520 = 27 · 32 · 5 · 13 · 536 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35068,-1610672] |
[a1,a2,a3,a4,a6] |
Generators |
[5727:17167:27] |
Generators of the group modulo torsion |
j |
4769535176684666569/1659667361339520 |
j-invariant |
L |
2.8480870860471 |
L(r)(E,1)/r! |
Ω |
0.3588135108914 |
Real period |
R |
7.9375134982281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62010cd2 103350cd2 |
Quadratic twists by: -3 5 |