Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23322t |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
275765251788 = 22 · 33 · 136 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-97263,11667213] |
[a1,a2,a3,a4,a6] |
Generators |
[174:51:1] |
Generators of the group modulo torsion |
j |
21081759765625/57132 |
j-invariant |
L |
9.1300622718163 |
L(r)(E,1)/r! |
Ω |
0.84874771938417 |
Real period |
R |
0.89642482126892 |
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 |
69966n2 138b2 |
Quadratic twists by: -3 13 |