Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57460c |
Isogeny class |
Conductor |
57460 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-7.8759026254229E+22 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10485380,3398780100] |
[a1,a2,a3,a4,a6] |
Generators |
[7960:768950:1] |
Generators of the group modulo torsion |
j |
103175388897377456/63738268140625 |
j-invariant |
L |
5.4962880297406 |
L(r)(E,1)/r! |
Ω |
0.067050766178645 |
Real period |
R |
2.2770010873013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4420a4 |
Quadratic twists by: 13 |