Atkin-Lehner |
5- 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
86275p |
Isogeny class |
Conductor |
86275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-212667875 = -1 · 53 · 7 · 172 · 292 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ -4 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,135,-388] |
[a1,a2,a3,a4,a6] |
Generators |
[30:83:8] [10:38:1] |
Generators of the group modulo torsion |
j |
2191933899/1701343 |
j-invariant |
L |
6.1842685718128 |
L(r)(E,1)/r! |
Ω |
0.98985578983621 |
Real period |
R |
3.1238230029452 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86275t2 |
Quadratic twists by: 5 |