Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58870n |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
Δ |
-24113152000 = -1 · 215 · 53 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -6 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-931,-13631] |
[a1,a2,a3,a4,a6] |
Generators |
[67:446:1] |
Generators of the group modulo torsion |
j |
-106122119209/28672000 |
j-invariant |
L |
12.504222273535 |
L(r)(E,1)/r! |
Ω |
0.42614261267197 |
Real period |
R |
1.9561874204341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58870f2 |
Quadratic twists by: 29 |