Atkin-Lehner |
2- 3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
112140i |
Isogeny class |
Conductor |
112140 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
-3.6875593705776E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17955897,-87626208098] |
[a1,a2,a3,a4,a6] |
Generators |
[38447:7578522:1] |
Generators of the group modulo torsion |
j |
3430658863552746974384/19759298753523582225 |
j-invariant |
L |
6.4592495970353 |
L(r)(E,1)/r! |
Ω |
0.039457812447705 |
Real period |
R |
6.820839373599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999679375 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
37380j4 |
Quadratic twists by: -3 |