Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768d |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-207507747586048 = -1 · 214 · 78 · 133 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52593,-4676335] |
[a1,a2,a3,a4,a6] |
Generators |
[293:2232:1] |
Generators of the group modulo torsion |
j |
-170338000/2197 |
j-invariant |
L |
8.8205603464526 |
L(r)(E,1)/r! |
Ω |
0.15750832268216 |
Real period |
R |
4.6667165456456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768cb2 2548d2 40768bt2 |
Quadratic twists by: -4 8 -7 |