Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600gk |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
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 |
[-100504235:-46255104:274625] |
Generators of the group modulo torsion |
j |
1845026709625/793152 |
j-invariant |
L |
6.2772701625681 |
L(r)(E,1)/r! |
Ω |
0.18880964910074 |
Real period |
R |
8.3116384534288 |
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 |
81600dw1 20400dk1 3264x1 |
Quadratic twists by: -4 8 5 |