Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36100j |
Isogeny class |
Conductor |
36100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
58807351250000 = 24 · 57 · 196 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12033,-353312] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:361:1] |
Generators of the group modulo torsion |
j |
16384/5 |
j-invariant |
L |
3.3713677616035 |
L(r)(E,1)/r! |
Ω |
0.46664885265632 |
Real period |
R |
1.2041058790468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7220c1 100a1 |
Quadratic twists by: 5 -19 |