Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392ba |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-9108072739584 = -1 · 28 · 34 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 2 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3831,114219] |
[a1,a2,a3,a4,a6] |
Generators |
[30:507:1] |
Generators of the group modulo torsion |
j |
5030912/7371 |
j-invariant |
L |
8.1789387345792 |
L(r)(E,1)/r! |
Ω |
0.49538129254648 |
Real period |
R |
0.51594971247651 |
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 |
56784g1 85176u1 2184g1 |
Quadratic twists by: -4 -3 13 |