Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296cn |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.7197064048862E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64549808,6114289236] |
[a1,a2,a3,a4,a6] |
Generators |
[-4814:453120:1] [-564:205770:1] |
Generators of the group modulo torsion |
j |
154357248921765625/89242711068672 |
j-invariant |
L |
13.942098411942 |
L(r)(E,1)/r! |
Ω |
0.058746882265705 |
Real period |
R |
9.8885378209038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162t3 6384q3 |
Quadratic twists by: -4 -19 |