Atkin-Lehner |
2+ 3- 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28014k |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
309590534573888778 = 2 · 36 · 712 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-169131,295972] |
[a1,a2,a3,a4,a6] |
Generators |
[422:1818:1] |
Generators of the group modulo torsion |
j |
535044212771858259625/309590534573888778 |
j-invariant |
L |
5.0951427621716 |
L(r)(E,1)/r! |
Ω |
0.25899046291942 |
Real period |
R |
4.9182725733774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
84042bv2 |
Quadratic twists by: -3 |