Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304di |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7.4917238913967E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10621697,2024516703] |
[a1,a2,a3,a4,a6] |
Generators |
[3874:137955:1] |
Generators of the group modulo torsion |
j |
8594236719188066/4858291807551 |
j-invariant |
L |
8.7988216525231 |
L(r)(E,1)/r! |
Ω |
0.09386878126703 |
Real period |
R |
7.811277888711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304fh4 15288y3 17472p3 |
Quadratic twists by: -4 8 -7 |