Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160bu |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-5787689787000000 = -1 · 26 · 33 · 56 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- -2 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2899805,-1899683553] |
[a1,a2,a3,a4,a6] |
Generators |
[37954:7386445:1] |
Generators of the group modulo torsion |
j |
-196566176333824/421875 |
j-invariant |
L |
6.2800196236318 |
L(r)(E,1)/r! |
Ω |
0.057846527292656 |
Real period |
R |
6.0313038096724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999614245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160iv2 1815e2 116160bp2 |
Quadratic twists by: -4 8 -11 |