Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968b |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
450793728 = 28 · 33 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-495,-4114] |
[a1,a2,a3,a4,a6] |
Generators |
[37:168:1] |
Generators of the group modulo torsion |
j |
1458000/49 |
j-invariant |
L |
6.8640645336813 |
L(r)(E,1)/r! |
Ω |
1.0142458568286 |
Real period |
R |
1.6919133802509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999984779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984bq1 121968a1 121968k1 |
Quadratic twists by: -4 -3 -11 |