Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64736l |
Isogeny class |
Conductor |
64736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
8286208 = 212 · 7 · 172 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 0 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113,481] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:28:1] [5:4:1] |
Generators of the group modulo torsion |
j |
136000/7 |
j-invariant |
L |
7.9999991149639 |
L(r)(E,1)/r! |
Ω |
2.2976652721979 |
Real period |
R |
0.87044871284906 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64736r1 129472by1 64736u1 |
Quadratic twists by: -4 8 17 |