Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42900bk |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-1042470000 = -1 · 24 · 36 · 54 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,242,-487] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
156089600/104247 |
j-invariant |
L |
7.4288894224297 |
L(r)(E,1)/r! |
Ω |
0.88489770835201 |
Real period |
R |
1.3991992807584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
128700cf1 42900a1 |
Quadratic twists by: -3 5 |