Atkin-Lehner |
2- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
64736p |
Isogeny class |
Conductor |
64736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-1225054618758656 = -1 · 29 · 73 · 178 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 4 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27840,2446856] |
[a1,a2,a3,a4,a6] |
Generators |
[858:34102:27] |
Generators of the group modulo torsion |
j |
-668168/343 |
j-invariant |
L |
8.0004400989944 |
L(r)(E,1)/r! |
Ω |
0.45204560599524 |
Real period |
R |
2.9497171645786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64736w1 129472cn1 64736s1 |
Quadratic twists by: -4 8 17 |