Atkin-Lehner |
2+ 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150v |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-241160329620000000 = -1 · 28 · 36 · 57 · 74 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,113475,-18439875] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2931:1] |
Generators of the group modulo torsion |
j |
10341851093067311/15434261095680 |
j-invariant |
L |
4.2812898468638 |
L(r)(E,1)/r! |
Ω |
0.16555131238084 |
Real period |
R |
1.6163001763276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bf2 |
Quadratic twists by: 5 |