Atkin-Lehner |
2+ 3+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53808a |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
31799236608 = 211 · 36 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 6 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2688,53856] |
[a1,a2,a3,a4,a6] |
Generators |
[52:228:1] |
Generators of the group modulo torsion |
j |
1049163349250/15526971 |
j-invariant |
L |
5.4348938750002 |
L(r)(E,1)/r! |
Ω |
1.1733965402224 |
Real period |
R |
1.1579405786331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26904e2 |
Quadratic twists by: -4 |