Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968bp |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.1317689236973E+21 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61637763,186252460130] |
[a1,a2,a3,a4,a6] |
Generators |
[17710:2156220:1] |
Generators of the group modulo torsion |
j |
9791533777258802/427901859 |
j-invariant |
L |
10.1824672989 |
L(r)(E,1)/r! |
Ω |
0.14531908668262 |
Real period |
R |
4.3793573219023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984bi2 40656m2 11088w2 |
Quadratic twists by: -4 -3 -11 |