Atkin-Lehner |
2- 7- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
16198k |
Isogeny class |
Conductor |
16198 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-202161453726596 = -1 · 22 · 76 · 136 · 89 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 0 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17927,-1151059] |
[a1,a2,a3,a4,a6] |
Generators |
[182:1183:1] |
Generators of the group modulo torsion |
j |
-637159381005983473/202161453726596 |
j-invariant |
L |
7.2319746936585 |
L(r)(E,1)/r! |
Ω |
0.20300816169351 |
Real period |
R |
0.49477859475977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129584m2 113386s2 |
Quadratic twists by: -4 -7 |