Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384ce |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-260971370643456 = -1 · 219 · 39 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 11+ 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-107244,13540176] |
[a1,a2,a3,a4,a6] |
Generators |
[48:2916:1] |
Generators of the group modulo torsion |
j |
-26436959739/50578 |
j-invariant |
L |
6.9393616355299 |
L(r)(E,1)/r! |
Ω |
0.55284368025612 |
Real period |
R |
3.1380306770743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998882438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384g2 30096p2 120384cl1 |
Quadratic twists by: -4 8 -3 |