Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850bu |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
5686818921000000 = 26 · 38 · 56 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-89892,-9695984] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:878:1] |
Generators of the group modulo torsion |
j |
7052482298233/499254336 |
j-invariant |
L |
4.8612179451439 |
L(r)(E,1)/r! |
Ω |
0.27695068282529 |
Real period |
R |
1.0970405216732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000234 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19950bz2 2394k2 |
Quadratic twists by: -3 5 |