Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850y |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-13089195000 = -1 · 23 · 39 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42,5516] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:73:1] |
Generators of the group modulo torsion |
j |
-675/1064 |
j-invariant |
L |
4.0665285413864 |
L(r)(E,1)/r! |
Ω |
1.0149720403164 |
Real period |
R |
0.66775707109474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850em1 59850dr1 |
Quadratic twists by: -3 5 |