Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950bk |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
3168000 |
Modular degree for the optimal curve |
Δ |
-1.0471797891223E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 3 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-55191951,-157901264702] |
[a1,a2,a3,a4,a6] |
j |
-47598241178539673499145/26807802601531392 |
j-invariant |
L |
2.4924615196472 |
L(r)(E,1)/r! |
Ω |
0.027694016884969 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850gj1 19950bp1 |
Quadratic twists by: -3 5 |