Atkin-Lehner |
2- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
28016f |
Isogeny class |
Conductor |
28016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
1010878462224760832 = 226 · 175 · 1032 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 0 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-402971,85757386] |
[a1,a2,a3,a4,a6] |
Generators |
[150:5356:1] |
Generators of the group modulo torsion |
j |
1766790857711104497/246796499566592 |
j-invariant |
L |
2.1206349938588 |
L(r)(E,1)/r! |
Ω |
0.26668046160866 |
Real period |
R |
3.9759849316796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3502a1 112064k1 |
Quadratic twists by: -4 8 |