Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4554bj |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
571384442150007552 = 28 · 39 · 118 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 2 11- -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-268637,39429605] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:6844:1] |
Generators of the group modulo torsion |
j |
2940980566145956489/783792101714688 |
j-invariant |
L |
4.5715462312723 |
L(r)(E,1)/r! |
Ω |
0.27182643396162 |
Real period |
R |
0.13138974164984 |
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 |
36432bq2 1518g2 113850bv2 50094bi2 |
Quadratic twists by: -4 -3 5 -11 |