Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600dw |
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 |
[-807:7800:1] |
Generators of the group modulo torsion |
j |
46753267515625/11591221248 |
j-invariant |
L |
8.158022254671 |
L(r)(E,1)/r! |
Ω |
0.14683851766476 |
Real period |
R |
4.6298151101125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600gk3 2550v3 3264a3 |
Quadratic twists by: -4 8 5 |