Atkin-Lehner |
2+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
109888d |
Isogeny class |
Conductor |
109888 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-1040634085376 = -1 · 221 · 173 · 101 |
Discriminant |
Eigenvalues |
2+ -1 -2 4 5 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2111,31169] |
[a1,a2,a3,a4,a6] |
j |
3966822287/3969704 |
j-invariant |
L |
1.1534575364651 |
L(r)(E,1)/r! |
Ω |
0.57672888509057 |
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 |
109888r1 3434a1 |
Quadratic twists by: -4 8 |