Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
64736u |
Isogeny class |
Conductor |
64736 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
200008917348352 = 212 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 1 0 7- 0 -6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32753,2166815] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:1156:1] [71:452:1] |
Generators of the group modulo torsion |
j |
136000/7 |
j-invariant |
L |
11.834891414048 |
L(r)(E,1)/r! |
Ω |
0.5572656829168 |
Real period |
R |
1.7697859053683 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64736q1 129472dr1 64736l1 |
Quadratic twists by: -4 8 17 |