Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160m |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1632670617600 = 212 · 32 · 52 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5001,-119799] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:96:1] [-40:121:1] |
Generators of the group modulo torsion |
j |
1906624/225 |
j-invariant |
L |
9.8787595100396 |
L(r)(E,1)/r! |
Ω |
0.57208780948171 |
Real period |
R |
4.3169769336503 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998171 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116160cs2 58080x1 960a2 |
Quadratic twists by: -4 8 -11 |