Atkin-Lehner |
2+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16150a |
Isogeny class |
Conductor |
16150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
613700000000 = 28 · 58 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-80042,8736116] |
[a1,a2,a3,a4,a6] |
Generators |
[-236:3918:1] |
Generators of the group modulo torsion |
j |
3629614769120241/39276800 |
j-invariant |
L |
2.5992639447836 |
L(r)(E,1)/r! |
Ω |
0.82857343949702 |
Real period |
R |
1.5685175392307 |
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 |
129200bp1 3230g1 |
Quadratic twists by: -4 5 |