Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1560i |
Isogeny class |
Conductor |
1560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
176863564800 = 210 · 312 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7176,-230724] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:24:1] |
Generators of the group modulo torsion |
j |
39914580075556/172718325 |
j-invariant |
L |
2.3376426100944 |
L(r)(E,1)/r! |
Ω |
0.51884420539136 |
Real period |
R |
2.2527404043485 |
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 |
3120g4 12480bf3 4680i4 7800d3 |
Quadratic twists by: -4 8 -3 5 |