Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cs |
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 |
[-70:363:1] |
Generators of the group modulo torsion |
j |
1906624/225 |
j-invariant |
L |
7.6313584421212 |
L(r)(E,1)/r! |
Ω |
0.81485648692261 |
Real period |
R |
2.3413197935927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999410903 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116160m2 58080bo1 960f2 |
Quadratic twists by: -4 8 -11 |