Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
74562ba |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
2032128 |
Modular degree for the optimal curve |
Δ |
-713735839593880128 = -1 · 26 · 37 · 179 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 2 3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,213565,14478081] |
[a1,a2,a3,a4,a6] |
Generators |
[874:29041:1] |
Generators of the group modulo torsion |
j |
44629322792111/29569499712 |
j-invariant |
L |
7.0568137044824 |
L(r)(E,1)/r! |
Ω |
0.17912551514967 |
Real period |
R |
0.23449949859119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4386j1 |
Quadratic twists by: 17 |