Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58870d |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-98942809000 = -1 · 23 · 53 · 76 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 3 5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1027,-7867] |
[a1,a2,a3,a4,a6] |
j |
142225717871/117649000 |
j-invariant |
L |
3.5354430790543 |
L(r)(E,1)/r! |
Ω |
0.58924051392236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58870q2 |
Quadratic twists by: 29 |