Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968dq |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.7413848717265E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1838595,913329538] |
[a1,a2,a3,a4,a6] |
Generators |
[-1287:33880:1] [-1063:40824:1] |
Generators of the group modulo torsion |
j |
129938649625/7072758 |
j-invariant |
L |
12.307735536077 |
L(r)(E,1)/r! |
Ω |
0.20242094995033 |
Real period |
R |
1.9000836415703 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999945572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246o2 40656cf2 11088bo2 |
Quadratic twists by: -4 -3 -11 |