Atkin-Lehner |
2+ 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150cc |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
139264 |
Modular degree for the optimal curve |
Δ |
-45015750000 = -1 · 24 · 36 · 56 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,858,-3484] |
[a1,a2,a3,a4,a6] |
Generators |
[8:58:1] [29:198:1] |
Generators of the group modulo torsion |
j |
6128487/3952 |
j-invariant |
L |
7.4501714258819 |
L(r)(E,1)/r! |
Ω |
0.65065014564916 |
Real period |
R |
5.7251746375052 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12350s1 4446q1 |
Quadratic twists by: -3 5 |