Atkin-Lehner |
2- 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64728k |
Isogeny class |
Conductor |
64728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-5.2132032784289E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 1 0 -6 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-450507,3475794278] |
[a1,a2,a3,a4,a6] |
Generators |
[654262:33531084:343] |
Generators of the group modulo torsion |
j |
-6772840714553618/3491782459938783 |
j-invariant |
L |
6.9025404210889 |
L(r)(E,1)/r! |
Ω |
0.11026583815393 |
Real period |
R |
7.8248854508168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456h1 21576a1 |
Quadratic twists by: -4 -3 |