Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950bt |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-20042829843750 = -1 · 2 · 39 · 57 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3338,-229219] |
[a1,a2,a3,a4,a6] |
Generators |
[6260:36913:64] |
Generators of the group modulo torsion |
j |
-263251475929/1282741110 |
j-invariant |
L |
6.4977693740327 |
L(r)(E,1)/r! |
Ω |
0.28388137493932 |
Real period |
R |
5.722257558656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850bn1 3990n1 |
Quadratic twists by: -3 5 |