Atkin-Lehner |
2+ 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83810j |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-4291072000000 = -1 · 215 · 56 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 6 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2213,-90339] |
[a1,a2,a3,a4,a6] |
j |
4144416930791/14848000000 |
j-invariant |
L |
2.3747786250854 |
L(r)(E,1)/r! |
Ω |
0.39579643172085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83810g2 |
Quadratic twists by: 17 |