Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200cx |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
9953280 |
Modular degree for the optimal curve |
Δ |
-7.035360509952E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8763592,-7943440812] |
[a1,a2,a3,a4,a6] |
Generators |
[1318:76800:1] |
Generators of the group modulo torsion |
j |
1163027916345872591/1099275079680000 |
j-invariant |
L |
9.1782650481209 |
L(r)(E,1)/r! |
Ω |
0.059875539283143 |
Real period |
R |
1.5967610309762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999973703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150a1 24240r1 |
Quadratic twists by: -4 5 |