Atkin-Lehner |
2+ 3+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28014d |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
28653851133684 = 22 · 34 · 78 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48961,4141585] |
[a1,a2,a3,a4,a6] |
Generators |
[163:-806:1] |
Generators of the group modulo torsion |
j |
12980409992537031577/28653851133684 |
j-invariant |
L |
3.3643677703123 |
L(r)(E,1)/r! |
Ω |
0.66526074720563 |
Real period |
R |
0.31607604466031 |
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 |
84042bq2 |
Quadratic twists by: -3 |