Atkin-Lehner |
2+ 3+ 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130a |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-864975421440 = -1 · 215 · 33 · 5 · 133 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1335,48861] |
[a1,a2,a3,a4,a6] |
Generators |
[21:162:1] |
Generators of the group modulo torsion |
j |
-9749598279147/32036126720 |
j-invariant |
L |
5.3710969619843 |
L(r)(E,1)/r! |
Ω |
0.77979254074412 |
Real period |
R |
3.4439268689033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104130bg1 |
Quadratic twists by: -3 |