Atkin-Lehner |
2- 3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150bw |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
Δ |
-4406781621043200 = -1 · 221 · 3 · 52 · 72 · 833 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,28757,2596121] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:1182:1] |
Generators of the group modulo torsion |
j |
105199455465963815/176271264841728 |
j-invariant |
L |
8.0421511295626 |
L(r)(E,1)/r! |
Ω |
0.29844094447886 |
Real period |
R |
0.21386675468006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87150bs2 |
Quadratic twists by: 5 |