Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64736s |
Isogeny class |
Conductor |
64736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-50753024 = -1 · 29 · 73 · 172 |
Discriminant |
Eigenvalues |
2- -1 -1 7- -4 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,532] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-14:1] |
Generators of the group modulo torsion |
j |
-668168/343 |
j-invariant |
L |
3.6739381299493 |
L(r)(E,1)/r! |
Ω |
1.8638317811147 |
Real period |
R |
0.32852912367384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64736k1 129472cw1 64736p1 |
Quadratic twists by: -4 8 17 |