Atkin-Lehner |
2+ 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
12864v |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-4267966464 = -1 · 218 · 35 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 0 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50849,4396479] |
[a1,a2,a3,a4,a6] |
Generators |
[115:288:1] |
Generators of the group modulo torsion |
j |
-55467626237353/16281 |
j-invariant |
L |
6.2193203368662 |
L(r)(E,1)/r! |
Ω |
1.1106172721624 |
Real period |
R |
0.27999385984504 |
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 |
12864bc1 201c1 38592bg1 |
Quadratic twists by: -4 8 -3 |