Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296cn |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.4507907627555E+26 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-698523568,-7082473116076] |
[a1,a2,a3,a4,a6] |
Generators |
[99452:30118230:1] [-124934:1066755:8] |
Generators of the group modulo torsion |
j |
195607431345044517625/752875610010048 |
j-invariant |
L |
13.942098411942 |
L(r)(E,1)/r! |
Ω |
0.029373441132853 |
Real period |
R |
39.554151283615 |
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 |
15162t4 6384q4 |
Quadratic twists by: -4 -19 |