Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950ce |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-4468988583360000000 = -1 · 212 · 37 · 57 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,86537,101272781] |
[a1,a2,a3,a4,a6] |
j |
4586790226340951/286015269335040 |
j-invariant |
L |
4.4827865985039 |
L(r)(E,1)/r! |
Ω |
0.18678277493766 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59850cl1 3990l1 |
Quadratic twists by: -3 5 |