Atkin-Lehner |
3- 7+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
59787c |
Isogeny class |
Conductor |
59787 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5651732729097 = 37 · 7 · 13 · 734 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14103,-630896] |
[a1,a2,a3,a4,a6] |
Generators |
[-530:1039:8] [3270:61241:8] |
Generators of the group modulo torsion |
j |
425547480243313/7752719793 |
j-invariant |
L |
9.9543336966234 |
L(r)(E,1)/r! |
Ω |
0.43858172431785 |
Real period |
R |
22.696644991543 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19929b4 |
Quadratic twists by: -3 |