Atkin-Lehner |
2+ 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
64728h |
Isogeny class |
Conductor |
64728 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
564395019264 = 210 · 36 · 293 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 -2 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2259,-20034] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:144:1] [-17:116:1] |
Generators of the group modulo torsion |
j |
1707831108/756059 |
j-invariant |
L |
8.2852122339769 |
L(r)(E,1)/r! |
Ω |
0.72143927471651 |
Real period |
R |
0.95702351816431 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456o1 7192a1 |
Quadratic twists by: -4 -3 |