Atkin-Lehner |
3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
20727k |
Isogeny class |
Conductor |
20727 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1255533933262203 = 37 · 76 · 474 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27351,360310] |
[a1,a2,a3,a4,a6] |
Generators |
[159990:165887:1000] |
Generators of the group modulo torsion |
j |
26383748833/14639043 |
j-invariant |
L |
6.7669620706933 |
L(r)(E,1)/r! |
Ω |
0.42005982364024 |
Real period |
R |
8.0547599292533 |
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 |
6909d4 423c4 |
Quadratic twists by: -3 -7 |