Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1610d |
Isogeny class |
Conductor |
1610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5323062500 = 22 · 56 · 7 · 233 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1691,-26675] |
[a1,a2,a3,a4,a6] |
Generators |
[50:95:1] |
Generators of the group modulo torsion |
j |
534774372149809/5323062500 |
j-invariant |
L |
2.945888697275 |
L(r)(E,1)/r! |
Ω |
0.74494350694619 |
Real period |
R |
3.9545128856164 |
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 |
12880n3 51520bg3 14490ba3 8050g3 |
Quadratic twists by: -4 8 -3 5 |