Atkin-Lehner |
3- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
87567c |
Isogeny class |
Conductor |
87567 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-374427554530450581 = -1 · 312 · 178 · 101 |
Discriminant |
Eigenvalues |
1 3- -2 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,81058,28075025] |
[a1,a2,a3,a4,a6] |
Generators |
[9270:323087:8] |
Generators of the group modulo torsion |
j |
2440200643847/15512231349 |
j-invariant |
L |
7.5048157035726 |
L(r)(E,1)/r! |
Ω |
0.21850353862804 |
Real period |
R |
2.862202196544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006672 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5151a2 |
Quadratic twists by: 17 |