Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42300i |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
642431250000 = 24 · 37 · 58 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10200,394625] |
[a1,a2,a3,a4,a6] |
Generators |
[40:225:1] |
Generators of the group modulo torsion |
j |
643956736/3525 |
j-invariant |
L |
5.7307093954744 |
L(r)(E,1)/r! |
Ω |
0.91602605251877 |
Real period |
R |
0.52133791934876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14100a1 8460d1 |
Quadratic twists by: -3 5 |