Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120cj |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
408 |
Product of Tamagawa factors cp |
deg |
8616960 |
Modular degree for the optimal curve |
Δ |
-1.97629621875E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74598685,248891883275] |
[a1,a2,a3,a4,a6] |
Generators |
[4805:-37500:1] |
Generators of the group modulo torsion |
j |
-11208752659685576960943616/48249419403076171875 |
j-invariant |
L |
8.8981700345938 |
L(r)(E,1)/r! |
Ω |
0.10102035957394 |
Real period |
R |
0.21588955308658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57120h1 114240s1 |
Quadratic twists by: -4 8 |