Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768b |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
2 |
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 |
[224:2561:1] |
Generators of the group modulo torsion |
j |
90770176/169 |
j-invariant |
L |
3.698350203216 |
L(r)(E,1)/r! |
Ω |
0.4186388050718 |
Real period |
R |
4.4171134620262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768bx1 2548b1 40768bi1 |
Quadratic twists by: -4 8 -7 |