Atkin-Lehner |
2+ 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67184i |
Isogeny class |
Conductor |
67184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18944 |
Modular degree for the optimal curve |
Δ |
-18274048 = -1 · 28 · 13 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ -2 -4 -2 -2 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60,124] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:8:1] [2:16:1] |
Generators of the group modulo torsion |
j |
91765424/71383 |
j-invariant |
L |
4.7655996344519 |
L(r)(E,1)/r! |
Ω |
1.3996145491775 |
Real period |
R |
3.4049371930439 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33592k1 |
Quadratic twists by: -4 |