Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fv |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7111913210265600 = 214 · 34 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-319601,-69319215] |
[a1,a2,a3,a4,a6] |
Generators |
[806792:37865619:343] |
Generators of the group modulo torsion |
j |
124386546256/245025 |
j-invariant |
L |
6.6576069923643 |
L(r)(E,1)/r! |
Ω |
0.20081622708607 |
Real period |
R |
8.2881834710873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084296 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116160ds2 29040bp2 10560bq2 |
Quadratic twists by: -4 8 -11 |