Atkin-Lehner |
2+ 3+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
116178a |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5836788882778188 = -1 · 22 · 3 · 176 · 674 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8531,3684681] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:1929:1] |
Generators of the group modulo torsion |
j |
-2845178713/241813452 |
j-invariant |
L |
1.9278427695316 |
L(r)(E,1)/r! |
Ω |
0.35100918632231 |
Real period |
R |
2.746142853518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000016835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
402b4 |
Quadratic twists by: 17 |