Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
40749n |
Isogeny class |
Conductor |
40749 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-5156170867356806259 = -1 · 39 · 179 · 472 |
Discriminant |
Eigenvalues |
2 3- 3 2 -3 -3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1055524,431107045] |
[a1,a2,a3,a4,a6] |
Generators |
[1210:132647:8] |
Generators of the group modulo torsion |
j |
-5388091135971328/213615997011 |
j-invariant |
L |
17.632785054156 |
L(r)(E,1)/r! |
Ω |
0.2403931237342 |
Real period |
R |
1.0187470781802 |
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 |
122247j1 2397a1 |
Quadratic twists by: -3 17 |