Atkin-Lehner |
2- 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
22704y |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-45715888944 = -1 · 24 · 33 · 113 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 11- 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2029,37336] |
[a1,a2,a3,a4,a6] |
Generators |
[20:66:1] |
Generators of the group modulo torsion |
j |
-57764882808832/2857243059 |
j-invariant |
L |
5.9797852289812 |
L(r)(E,1)/r! |
Ω |
1.1231891215617 |
Real period |
R |
1.7746448080109 |
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 |
5676f2 90816ci2 68112bo2 |
Quadratic twists by: -4 8 -3 |