Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72864ba |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
7648971264 = 29 · 310 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 5 11+ -3 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1659,25666] |
[a1,a2,a3,a4,a6] |
Generators |
[14:72:1] |
Generators of the group modulo torsion |
j |
1352899016/20493 |
j-invariant |
L |
5.6519150846914 |
L(r)(E,1)/r! |
Ω |
1.3211226647289 |
Real period |
R |
2.1390576496312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72864bj1 24288l1 |
Quadratic twists by: -4 -3 |