Atkin-Lehner |
2+ 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
12864r |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-38592 = -1 · 26 · 32 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 6 -4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
512000/603 |
j-invariant |
L |
5.8845973856222 |
L(r)(E,1)/r! |
Ω |
2.4322229821299 |
Real period |
R |
1.2097158502444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12864y1 201a1 38592v1 |
Quadratic twists by: -4 8 -3 |