Atkin-Lehner |
2+ 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
112064h |
Isogeny class |
Conductor |
112064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-1950810112 = -1 · 216 · 172 · 103 |
Discriminant |
Eigenvalues |
2+ 0 2 0 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44,-2128] |
[a1,a2,a3,a4,a6] |
Generators |
[19138:141056:343] |
Generators of the group modulo torsion |
j |
-143748/29767 |
j-invariant |
L |
8.3322959984726 |
L(r)(E,1)/r! |
Ω |
0.65884085946477 |
Real period |
R |
6.3234511661378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112064m1 14008a1 |
Quadratic twists by: -4 8 |