Atkin-Lehner |
2- 3- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450ck |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
139104 |
Modular degree for the optimal curve |
Δ |
-10994299050 = -1 · 2 · 3 · 52 · 77 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 4 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6668,209082] |
[a1,a2,a3,a4,a6] |
Generators |
[6031428:3935127:140608] |
Generators of the group modulo torsion |
j |
-1311518882250985/439771962 |
j-invariant |
L |
13.713736247813 |
L(r)(E,1)/r! |
Ω |
1.2535569145434 |
Real period |
R |
10.939859284068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450r1 |
Quadratic twists by: 5 |