Atkin-Lehner |
2- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
39160n |
Isogeny class |
Conductor |
39160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-139949931534617600 = -1 · 210 · 52 · 11 · 896 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-229123,45890478] |
[a1,a2,a3,a4,a6] |
Generators |
[-269:9384:1] [243:2136:1] |
Generators of the group modulo torsion |
j |
-1299061813444257636/136669855014275 |
j-invariant |
L |
7.8485121620809 |
L(r)(E,1)/r! |
Ω |
0.31876761410958 |
Real period |
R |
4.103570445827 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320f2 |
Quadratic twists by: -4 |