Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680df |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-6.9490708640056E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,764825,-1241639302] |
[a1,a2,a3,a4,a6] |
Generators |
[926:16170:1] |
Generators of the group modulo torsion |
j |
26284586405881856/369163298455875 |
j-invariant |
L |
8.1966214416842 |
L(r)(E,1)/r! |
Ω |
0.078816085408517 |
Real period |
R |
1.7332801629873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999891 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129360bo1 9240r1 |
Quadratic twists by: -4 -7 |