Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550cf |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-12224466406250000 = -1 · 24 · 511 · 77 · 19 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 0 -4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23505,-5491503] |
[a1,a2,a3,a4,a6] |
Generators |
[989:30130:1] |
Generators of the group modulo torsion |
j |
-781229961/6650000 |
j-invariant |
L |
5.0171118326038 |
L(r)(E,1)/r! |
Ω |
0.16928182167957 |
Real period |
R |
0.92617590721365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310b1 6650ba1 |
Quadratic twists by: 5 -7 |