Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950bw |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
2998960914432000000 = 236 · 3 · 56 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15291763,-23022464719] |
[a1,a2,a3,a4,a6] |
Generators |
[-2261:1438:1] |
Generators of the group modulo torsion |
j |
25309080274342544331625/191933498523648 |
j-invariant |
L |
7.2938256408255 |
L(r)(E,1)/r! |
Ω |
0.076345837312338 |
Real period |
R |
2.6537958706488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850br5 798e5 |
Quadratic twists by: -3 5 |