Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968dp |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.0428903847005E+20 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2631387,-1412417270] |
[a1,a2,a3,a4,a6] |
Generators |
[-1014:14602:1] |
Generators of the group modulo torsion |
j |
286191179/43218 |
j-invariant |
L |
4.9916095748508 |
L(r)(E,1)/r! |
Ω |
0.11973743060082 |
Real period |
R |
5.2109953671574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011541 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246bp2 40656cd2 121968fi2 |
Quadratic twists by: -4 -3 -11 |