Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032bq |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-7379256671490816 = -1 · 28 · 36 · 78 · 193 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 3 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44247,-5469478] |
[a1,a2,a3,a4,a6] |
Generators |
[637:14994:1] |
Generators of the group modulo torsion |
j |
-8904784/6859 |
j-invariant |
L |
7.9770284647967 |
L(r)(E,1)/r! |
Ω |
0.15928813983845 |
Real period |
R |
2.0866348642455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7448b1 67032cq1 |
Quadratic twists by: -3 -7 |