Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72864y |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1996800 |
Modular degree for the optimal curve |
Δ |
1.8881099115444E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11+ 3 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2665083,1538591294] |
[a1,a2,a3,a4,a6] |
Generators |
[15699:367802:27] |
Generators of the group modulo torsion |
j |
5608651298993519048/505859351301117 |
j-invariant |
L |
6.0002418735371 |
L(r)(E,1)/r! |
Ω |
0.17481000861498 |
Real period |
R |
8.5810902958145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72864bh1 24288f1 |
Quadratic twists by: -4 -3 |