Atkin-Lehner |
2- 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42900o |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-651543750000 = -1 · 24 · 36 · 58 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 11+ 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4958,141537] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:425:1] [92:675:1] |
Generators of the group modulo torsion |
j |
-2157003520/104247 |
j-invariant |
L |
7.0287765058234 |
L(r)(E,1)/r! |
Ω |
0.90045390742205 |
Real period |
R |
0.43365638200717 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128700cj1 42900y1 |
Quadratic twists by: -3 5 |