Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64736a |
Isogeny class |
Conductor |
64736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
406024192 = 212 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 1 -2 7+ 2 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2289,-42913] |
[a1,a2,a3,a4,a6] |
Generators |
[58:151:1] |
Generators of the group modulo torsion |
j |
1120967488/343 |
j-invariant |
L |
6.1481528996768 |
L(r)(E,1)/r! |
Ω |
0.69020844942565 |
Real period |
R |
4.4538377536539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64736g1 129472cb1 64736j1 |
Quadratic twists by: -4 8 17 |