Atkin-Lehner |
2- 3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650cn |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-513490855680000 = -1 · 211 · 34 · 54 · 113 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8049438,8789482692] |
[a1,a2,a3,a4,a6] |
Generators |
[1596:-3726:1] |
Generators of the group modulo torsion |
j |
-92286967813735961799025/821585369088 |
j-invariant |
L |
14.402195074237 |
L(r)(E,1)/r! |
Ω |
0.36297392646896 |
Real period |
R |
0.45088998270691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650b1 |
Quadratic twists by: 5 |