Atkin-Lehner |
2+ 3+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
16536d |
Isogeny class |
Conductor |
16536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
757216512 = 28 · 34 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -4 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-228,180] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:36:1] |
Generators of the group modulo torsion |
j |
5142706000/2957877 |
j-invariant |
L |
3.0181033122539 |
L(r)(E,1)/r! |
Ω |
1.363587776102 |
Real period |
R |
1.1066773130226 |
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 |
33072i2 49608p2 |
Quadratic twists by: -4 -3 |