Atkin-Lehner |
2- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58870r |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
58899012662028140 = 22 · 5 · 7 · 2910 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-642682,198125421] |
[a1,a2,a3,a4,a6] |
Generators |
[536342:138594133:8] |
Generators of the group modulo torsion |
j |
49354130009241/99019340 |
j-invariant |
L |
8.8009301531087 |
L(r)(E,1)/r! |
Ω |
0.35207199508742 |
Real period |
R |
12.498764849018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2030a4 |
Quadratic twists by: 29 |