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 |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
3248750592000000 = 224 · 36 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408833,100442463] |
[a1,a2,a3,a4,a6] |
Generators |
[313:1800:1] |
Generators of the group modulo torsion |
j |
1845026709625/793152 |
j-invariant |
L |
8.158022254671 |
L(r)(E,1)/r! |
Ω |
0.44051555299428 |
Real period |
R |
1.5432717033708 |
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 |
81600gk1 2550v1 3264a1 |
Quadratic twists by: -4 8 5 |