Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975p |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.6446193121338E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24578188,46889360156] |
[a1,a2,a3,a4,a6] |
Generators |
[1390:1650951:8] |
Generators of the group modulo torsion |
j |
59319456301170001/594140625 |
j-invariant |
L |
2.980277449356 |
L(r)(E,1)/r! |
Ω |
0.19876980374955 |
Real period |
R |
3.7484031895609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999459886 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23595n6 975a5 |
Quadratic twists by: 5 -11 |