Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890dd |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
-2.6535307796178E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 5 7 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4533489,3798223645] |
[a1,a2,a3,a4,a6] |
Generators |
[-229:69572:1] |
Generators of the group modulo torsion |
j |
-120144998550165121/3093914880000 |
j-invariant |
L |
6.8329250757443 |
L(r)(E,1)/r! |
Ω |
0.17405149006595 |
Real period |
R |
0.61340729908191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999893195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630ci1 18270t1 |
Quadratic twists by: -3 -7 |