Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784bu |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1121604599808 = 219 · 34 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8097,-273087] |
[a1,a2,a3,a4,a6] |
Generators |
[168:1755:1] |
Generators of the group modulo torsion |
j |
223980311017/4278582 |
j-invariant |
L |
4.3256890786188 |
L(r)(E,1)/r! |
Ω |
0.50386935701843 |
Real period |
R |
4.2924708740133 |
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 |
14784bd4 3696u3 44352dn3 103488it3 |
Quadratic twists by: -4 8 -3 -7 |