Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544ba |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-15043339616256 = -1 · 217 · 39 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -3 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,186608] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:108:1] [-2:432:1] |
Generators of the group modulo torsion |
j |
-2/157437 |
j-invariant |
L |
10.781951975158 |
L(r)(E,1)/r! |
Ω |
0.55667389477679 |
Real period |
R |
1.2105327818895 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544eg1 8568b1 22848g1 |
Quadratic twists by: -4 8 -3 |