Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22440u |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
111946782013440 = 211 · 3 · 5 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15760,571660] |
[a1,a2,a3,a4,a6] |
Generators |
[12666:502271:8] |
Generators of the group modulo torsion |
j |
211392685378082/54661514655 |
j-invariant |
L |
5.7434023828344 |
L(r)(E,1)/r! |
Ω |
0.55463354235747 |
Real period |
R |
5.1776551039647 |
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 |
44880v3 67320j3 112200bc3 |
Quadratic twists by: -4 -3 5 |