Atkin-Lehner |
2+ 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
56032b |
Isogeny class |
Conductor |
56032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-550570432 = -1 · 26 · 174 · 103 |
Discriminant |
Eigenvalues |
2+ -2 0 0 -2 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158,1312] |
[a1,a2,a3,a4,a6] |
Generators |
[1:34:1] [33:182:1] |
Generators of the group modulo torsion |
j |
-6859000000/8602663 |
j-invariant |
L |
6.8216066916423 |
L(r)(E,1)/r! |
Ω |
1.4834296377831 |
Real period |
R |
2.2992687074229 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56032c1 112064n1 |
Quadratic twists by: -4 8 |