Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ht |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3746786595840000000 = 216 · 316 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-400033,28340063] |
[a1,a2,a3,a4,a6] |
Generators |
[-622:6075:1] |
Generators of the group modulo torsion |
j |
6913728144004/3658971285 |
j-invariant |
L |
7.4180077811833 |
L(r)(E,1)/r! |
Ω |
0.21811629696547 |
Real period |
R |
1.0627942352291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600a4 20400a3 16320bs3 |
Quadratic twists by: -4 8 5 |