Atkin-Lehner |
2+ 3- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14382f |
Isogeny class |
Conductor |
14382 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
173635663370590944 = 25 · 314 · 176 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-146808,-8137760] |
[a1,a2,a3,a4,a6] |
Generators |
[-279:3463:1] |
Generators of the group modulo torsion |
j |
480006385101608833/238183351674336 |
j-invariant |
L |
3.5875085006026 |
L(r)(E,1)/r! |
Ω |
0.25668744078958 |
Real period |
R |
2.3293624401511 |
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 |
115056bf2 4794d2 |
Quadratic twists by: -4 -3 |