Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600i |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
164000000000000 = 214 · 512 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 0 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26033,1486063] |
[a1,a2,a3,a4,a6] |
Generators |
[123:400:1] |
Generators of the group modulo torsion |
j |
7622072656/640625 |
j-invariant |
L |
4.0911201817142 |
L(r)(E,1)/r! |
Ω |
0.56036897182105 |
Real period |
R |
1.8251903598249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600bi2 8200a2 13120d2 |
Quadratic twists by: -4 8 5 |