Atkin-Lehner |
2- 3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150bz |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3114474920156250 = 2 · 310 · 57 · 72 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-75838,7545281] |
[a1,a2,a3,a4,a6] |
Generators |
[-1810:29951:8] |
Generators of the group modulo torsion |
j |
3087199234101529/199326394890 |
j-invariant |
L |
7.873740450525 |
L(r)(E,1)/r! |
Ω |
0.44123539674196 |
Real period |
R |
2.230595196623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430o2 |
Quadratic twists by: 5 |