Atkin-Lehner |
2+ 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950bd |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
75220929000000 = 26 · 32 · 56 · 74 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13051,-395002] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:296:1] |
Generators of the group modulo torsion |
j |
15732118860193/4814139456 |
j-invariant |
L |
6.2056419781703 |
L(r)(E,1)/r! |
Ω |
0.45731628067228 |
Real period |
R |
1.6962117467813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2478e2 |
Quadratic twists by: 5 |