Atkin-Lehner |
2+ 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75240y |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-3.663805921875E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1918767,1376466626] |
[a1,a2,a3,a4,a6] |
Generators |
[-1033:47500:1] |
Generators of the group modulo torsion |
j |
-4186228599342295504/1963201904296875 |
j-invariant |
L |
8.2868642264191 |
L(r)(E,1)/r! |
Ω |
0.15854434274406 |
Real period |
R |
0.93336486046245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080k2 |
Quadratic twists by: -3 |