Atkin-Lehner |
2- 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
121128bd |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3.3282334629713E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8585992,-9682416640] |
[a1,a2,a3,a4,a6] |
Generators |
[149998553:8145419940:29791] |
Generators of the group modulo torsion |
j |
581041302171984868/276264820881 |
j-invariant |
L |
10.407521046216 |
L(r)(E,1)/r! |
Ω |
0.088199134585277 |
Real period |
R |
9.8333552324237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999878774 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17304d2 |
Quadratic twists by: -7 |