Atkin-Lehner |
2- 3- 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
100650ce |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
475776 |
Modular degree for the optimal curve |
Δ |
-783127043542800 = -1 · 24 · 33 · 52 · 117 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11+ 6 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6998,-1365708] |
[a1,a2,a3,a4,a6] |
Generators |
[138:480:1] |
Generators of the group modulo torsion |
j |
-1516035589453705/31325081741712 |
j-invariant |
L |
14.674730210984 |
L(r)(E,1)/r! |
Ω |
0.2175047316658 |
Real period |
R |
2.8111898428885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948524 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650j1 |
Quadratic twists by: 5 |