Atkin-Lehner |
2- 3+ 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950cm |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-35939700000000 = -1 · 28 · 36 · 58 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 0 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7763,387281] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1282:1] |
Generators of the group modulo torsion |
j |
-132451210705/92005632 |
j-invariant |
L |
7.4455205537135 |
L(r)(E,1)/r! |
Ω |
0.60055199864376 |
Real period |
R |
0.25828739540002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73950bm1 |
Quadratic twists by: 5 |