Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032bm |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-899032245552 = -1 · 24 · 33 · 78 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1470,-40131] |
[a1,a2,a3,a4,a6] |
Generators |
[70:637:1] [210:3087:1] |
Generators of the group modulo torsion |
j |
6912000/17689 |
j-invariant |
L |
10.134621820946 |
L(r)(E,1)/r! |
Ω |
0.45686028223949 |
Real period |
R |
2.7728996738601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67032e1 9576p1 |
Quadratic twists by: -3 -7 |