Atkin-Lehner |
2+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35776b |
Isogeny class |
Conductor |
35776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-239071905992671232 = -1 · 219 · 139 · 43 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 -3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124673,-28949759] |
[a1,a2,a3,a4,a6] |
Generators |
[16545:2127584:1] |
Generators of the group modulo torsion |
j |
-817531515762625/911986946078 |
j-invariant |
L |
3.6394694202056 |
L(r)(E,1)/r! |
Ω |
0.12172714222043 |
Real period |
R |
7.4746464794488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35776g3 1118a3 |
Quadratic twists by: -4 8 |