Atkin-Lehner |
2- 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190bs |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8635559323290246750 = -1 · 2 · 3 · 53 · 1310 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,504039,32128533] |
[a1,a2,a3,a4,a6] |
j |
2933972022568679/1789082460750 |
j-invariant |
L |
4.5708354115092 |
L(r)(E,1)/r! |
Ω |
0.14283861220461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630e4 |
Quadratic twists by: 13 |