Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768bx |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
997633401856 = 210 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 1 -1 7+ -1 13+ -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16921,840223] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:1231:1] [114:637:1] |
Generators of the group modulo torsion |
j |
90770176/169 |
j-invariant |
L |
9.708338083884 |
L(r)(E,1)/r! |
Ω |
0.87899934647681 |
Real period |
R |
1.8407935726 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768b1 10192o1 40768dp1 |
Quadratic twists by: -4 8 -7 |