Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
121104bo |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
584640 |
Modular degree for the optimal curve |
Δ |
-3457703206386432 = -1 · 28 · 33 · 298 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 0 2 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-2829124] |
[a1,a2,a3,a4,a6] |
Generators |
[1682:68962:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
5.6277928028892 |
L(r)(E,1)/r! |
Ω |
0.20421597735444 |
Real period |
R |
2.2965036690651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999983577 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30276g1 121104bo2 121104be1 |
Quadratic twists by: -4 -3 29 |