Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032bs |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-8513600256 = -1 · 28 · 36 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 1 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,441,-2646] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-126:1] |
Generators of the group modulo torsion |
j |
21168/19 |
j-invariant |
L |
5.1257698528336 |
L(r)(E,1)/r! |
Ω |
0.71722530211993 |
Real period |
R |
0.29777775998441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7448a1 67032ct1 |
Quadratic twists by: -3 -7 |