Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
15576f |
Isogeny class |
Conductor |
15576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
170499792595968 = 210 · 33 · 116 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11+ -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26752,1571548] |
[a1,a2,a3,a4,a6] |
Generators |
[38:780:1] |
Generators of the group modulo torsion |
j |
2067801074938372/166503703707 |
j-invariant |
L |
4.3180433079694 |
L(r)(E,1)/r! |
Ω |
0.55916860842026 |
Real period |
R |
3.8611281489572 |
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 |
31152k2 124608bp2 46728h2 |
Quadratic twists by: -4 8 -3 |