Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42900y |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-41698800 = -1 · 24 · 36 · 52 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 11+ 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-198,1053] |
[a1,a2,a3,a4,a6] |
Generators |
[9:9:1] |
Generators of the group modulo torsion |
j |
-2157003520/104247 |
j-invariant |
L |
8.5494308211488 |
L(r)(E,1)/r! |
Ω |
2.013476147601 |
Real period |
R |
0.70768414046293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128700x1 42900o1 |
Quadratic twists by: -3 5 |