Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840h |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.3365820908665E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79879683,274791012118] |
[a1,a2,a3,a4,a6] |
Generators |
[5669:64350:1] |
Generators of the group modulo torsion |
j |
151020262560470148771848/35809491031875 |
j-invariant |
L |
4.8728968222162 |
L(r)(E,1)/r! |
Ω |
0.17812657011912 |
Real period |
R |
2.2796977167029 |
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 |
15840r2 31680bg4 5280o2 79200dv4 |
Quadratic twists by: -4 8 -3 5 |