Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626w |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2323872470889285264 = -1 · 24 · 36 · 134 · 178 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,66271,73032833] |
[a1,a2,a3,a4,a6] |
Generators |
[-323:4386:1] |
Generators of the group modulo torsion |
j |
1829276567/132066064 |
j-invariant |
L |
10.858134564253 |
L(r)(E,1)/r! |
Ω |
0.19764178879692 |
Real period |
R |
3.433653451389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7514a2 3978h2 |
Quadratic twists by: -3 17 |