Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568bh |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
9071323840512 = 216 · 38 · 172 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5304,31572] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:306:1] |
Generators of the group modulo torsion |
j |
4029546653497/2214678672 |
j-invariant |
L |
6.4573934716971 |
L(r)(E,1)/r! |
Ω |
0.63520251325815 |
Real period |
R |
0.63536759309705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7446c1 |
Quadratic twists by: -4 |