Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344en |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
71245947275523072 = 210 · 38 · 139 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4461600,-3627282152] |
[a1,a2,a3,a4,a6] |
Generators |
[-5506899456044:424773893907:4508479808] |
Generators of the group modulo torsion |
j |
2725888000000/19773 |
j-invariant |
L |
7.5114812455109 |
L(r)(E,1)/r! |
Ω |
0.10387883869504 |
Real period |
R |
18.077505822261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344y3 24336bh3 32448cy3 7488bp3 |
Quadratic twists by: -4 8 -3 13 |