Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784bu |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
161198112768 = 219 · 3 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14497,676417] |
[a1,a2,a3,a4,a6] |
Generators |
[171:1780:1] |
Generators of the group modulo torsion |
j |
1285429208617/614922 |
j-invariant |
L |
4.3256890786188 |
L(r)(E,1)/r! |
Ω |
1.0077387140369 |
Real period |
R |
4.2924708740133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14784bd3 3696u4 44352dn4 103488it4 |
Quadratic twists by: -4 8 -3 -7 |