Atkin-Lehner |
2- 3- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
64752o |
Isogeny class |
Conductor |
64752 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-2610203885568 = -1 · 215 · 310 · 19 · 71 |
Discriminant |
Eigenvalues |
2- 3- -4 3 2 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4600,141524] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:-432:1] |
Generators of the group modulo torsion |
j |
-2628643361401/637256808 |
j-invariant |
L |
5.8015359092723 |
L(r)(E,1)/r! |
Ω |
0.7727118261028 |
Real period |
R |
0.18770050210187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8094a1 |
Quadratic twists by: -4 |