Atkin-Lehner |
2+ 3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650v |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-13427414550 = -1 · 2 · 38 · 52 · 11 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,444,4288] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-96:1] |
Generators of the group modulo torsion |
j |
388452510815/537096582 |
j-invariant |
L |
5.5060107340543 |
L(r)(E,1)/r! |
Ω |
0.84960976155261 |
Real period |
R |
0.40503968846535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999343845 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650by1 |
Quadratic twists by: 5 |