Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1610a |
Isogeny class |
Conductor |
1610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
56350000000 = 27 · 58 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15610,-746700] |
[a1,a2,a3,a4,a6] |
Generators |
[4430:99035:8] |
Generators of the group modulo torsion |
j |
420676324562824569/56350000000 |
j-invariant |
L |
1.967397686604 |
L(r)(E,1)/r! |
Ω |
0.42712108938373 |
Real period |
R |
4.6061824983697 |
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 |
12880s2 51520r2 14490bx2 8050q2 |
Quadratic twists by: -4 8 -3 5 |