Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
71200b |
Isogeny class |
Conductor |
71200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-316840000000 = -1 · 29 · 57 · 892 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,592,26312] |
[a1,a2,a3,a4,a6] |
Generators |
[831:7282:27] |
Generators of the group modulo torsion |
j |
2863288/39605 |
j-invariant |
L |
9.0297631865708 |
L(r)(E,1)/r! |
Ω |
0.7160497690563 |
Real period |
R |
6.3052622714585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999295 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71200k2 14240k2 |
Quadratic twists by: -4 5 |