Atkin-Lehner |
5+ 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
65975c |
Isogeny class |
Conductor |
65975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.4897851905823E+21 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4119208,194739741] |
[a1,a2,a3,a4,a6] |
Generators |
[164:29493:1] [17538:4962643:216] |
Generators of the group modulo torsion |
j |
494703284298382235439/287346252197265625 |
j-invariant |
L |
11.412947829882 |
L(r)(E,1)/r! |
Ω |
0.082948788551814 |
Real period |
R |
17.198786186565 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13195j4 |
Quadratic twists by: 5 |