Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72864n |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
94431744 = 29 · 36 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24291,-1457190] |
[a1,a2,a3,a4,a6] |
Generators |
[810:22590:1] |
Generators of the group modulo torsion |
j |
4246805829384/253 |
j-invariant |
L |
4.3624428203055 |
L(r)(E,1)/r! |
Ω |
0.3824178959866 |
Real period |
R |
5.7037639533077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999998617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72864j4 8096d3 |
Quadratic twists by: -4 -3 |