Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472ch |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
261429696 = 26 · 32 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-412,2990] |
[a1,a2,a3,a4,a6] |
Generators |
[154:405:8] |
Generators of the group modulo torsion |
j |
121140419392/4084839 |
j-invariant |
L |
6.5341230776742 |
L(r)(E,1)/r! |
Ω |
1.7356065928184 |
Real period |
R |
3.7647489383456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472ca1 32736j3 |
Quadratic twists by: -4 8 |