Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600i |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
3362000000000 = 210 · 59 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 0 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5533,-133437] |
[a1,a2,a3,a4,a6] |
Generators |
[343:6200:1] |
Generators of the group modulo torsion |
j |
1171019776/210125 |
j-invariant |
L |
4.0911201817142 |
L(r)(E,1)/r! |
Ω |
0.56036897182105 |
Real period |
R |
3.6503807196497 |
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 |
65600bi1 8200a1 13120d1 |
Quadratic twists by: -4 8 5 |