Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115596bi |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.3212107737234E+21 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 0 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1430247,-2409691570] |
[a1,a2,a3,a4,a6] |
Generators |
[1891442:-919684683:8] |
Generators of the group modulo torsion |
j |
-163493008/1172889 |
j-invariant |
L |
2.3785563787354 |
L(r)(E,1)/r! |
Ω |
0.061173653935838 |
Real period |
R |
9.7205095180656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000157166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38532j2 115596bd2 |
Quadratic twists by: -3 13 |