Atkin-Lehner |
7- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58261k |
Isogeny class |
Conductor |
58261 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
-2.8539883904252E+19 |
Discriminant |
Eigenvalues |
1 0 0 7- -3 -7 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3864002,2935750243] |
[a1,a2,a3,a4,a6] |
Generators |
[39954:556949:27] |
Generators of the group modulo torsion |
j |
-158107853561565375/707244928669 |
j-invariant |
L |
4.2529463571081 |
L(r)(E,1)/r! |
Ω |
0.21109625943057 |
Real period |
R |
1.4390680510121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58261m1 |
Quadratic twists by: -7 |