Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15960f |
Isogeny class |
Conductor |
15960 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
5.1600520325707E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-126098896,543884344304] |
[a1,a2,a3,a4,a6] |
Generators |
[644:680400:1] |
Generators of the group modulo torsion |
j |
216549712715884743061323076/503911331305734830625 |
j-invariant |
L |
5.3832226652447 |
L(r)(E,1)/r! |
Ω |
0.093007005466775 |
Real period |
R |
0.80388548245908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31920c2 127680bp2 47880bn2 79800x2 |
Quadratic twists by: -4 8 -3 5 |