Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600gk |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4.7477642231808E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1200833,383325537] |
[a1,a2,a3,a4,a6] |
Generators |
[1607:51000:1] |
Generators of the group modulo torsion |
j |
46753267515625/11591221248 |
j-invariant |
L |
6.2772701625681 |
L(r)(E,1)/r! |
Ω |
0.18880964910074 |
Real period |
R |
2.7705461511429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600dw3 20400dk3 3264x3 |
Quadratic twists by: -4 8 5 |