Atkin-Lehner |
3+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20097a |
Isogeny class |
Conductor |
20097 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
60595246533591 = 33 · 73 · 11 · 296 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 11+ -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58844,5496048] |
[a1,a2,a3,a4,a6] |
Generators |
[1206:873:8] |
Generators of the group modulo torsion |
j |
834563889111074499/2244268390133 |
j-invariant |
L |
3.5920923361995 |
L(r)(E,1)/r! |
Ω |
0.62574577889045 |
Real period |
R |
5.7404979104595 |
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 |
20097d2 |
Quadratic twists by: -3 |