Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768bf |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
770743062462464 = 215 · 77 · 134 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25676,-850640] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:392:1] |
Generators of the group modulo torsion |
j |
485587656/199927 |
j-invariant |
L |
4.7278642169067 |
L(r)(E,1)/r! |
Ω |
0.39106340385545 |
Real period |
R |
1.5112204856988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40768bg3 20384c2 5824b4 |
Quadratic twists by: -4 8 -7 |