Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6160g |
Isogeny class |
Conductor |
6160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-12698549248000000 = -1 · 216 · 56 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8064,5411840] |
[a1,a2,a3,a4,a6] |
Generators |
[2018:90750:1] |
Generators of the group modulo torsion |
j |
14156681599871/3100231750000 |
j-invariant |
L |
5.0425500834666 |
L(r)(E,1)/r! |
Ω |
0.30887873664038 |
Real period |
R |
1.3604449161057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
770f3 24640bt3 55440ec3 30800ca3 |
Quadratic twists by: -4 8 -3 5 |