Atkin-Lehner |
2+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14144d |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11767808 = 212 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73,-201] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:4:1] [-5:8:1] |
Generators of the group modulo torsion |
j |
10648000/2873 |
j-invariant |
L |
4.5964078304387 |
L(r)(E,1)/r! |
Ω |
1.6643985546873 |
Real period |
R |
1.3808014364995 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14144b2 7072g1 127296c2 |
Quadratic twists by: -4 8 -3 |