Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296be |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1020044209196823552 = 210 · 32 · 73 · 199 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50196448,136868806916] |
[a1,a2,a3,a4,a6] |
Generators |
[4016:8190:1] |
Generators of the group modulo torsion |
j |
42331174235500/3087 |
j-invariant |
L |
9.0322001757419 |
L(r)(E,1)/r! |
Ω |
0.21070841197136 |
Real period |
R |
3.5721561359721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648b2 121296i2 |
Quadratic twists by: -4 -19 |