Atkin-Lehner |
2- 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150ek |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-11704095000000 = -1 · 26 · 36 · 57 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7355,295147] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-250:1] [-71:710:1] |
Generators of the group modulo torsion |
j |
-3862503009/1027520 |
j-invariant |
L |
16.327494394781 |
L(r)(E,1)/r! |
Ω |
0.68000894523726 |
Real period |
R |
0.50022302730764 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12350d1 22230t1 |
Quadratic twists by: -3 5 |